Are you ready to challenge your brain with a fascinating math puzzle? At first glance, the equation in the image may look like a simple addition problem, but there’s a hidden pattern that makes it more complex than you think.
Take a moment to analyze the given equations:
- 9 + 2 = 711
- 14 + 6 = 820
- 17 + 11 = 628
- 12 + 3 = ???
Can you figure out the logic behind these numbers and find the correct answer? Give it a try before scrolling down for the solution!

Common Mistakes People Make When Solving This Puzzle
Many people approach this problem using traditional math rules. Since the equations involve addition, they naturally assume the answer follows basic arithmetic. However, these numbers don’t add up conventionally, leading to confusion.
Here are some common errors people make:
✔ Trying to use standard addition – When adding 9 + 2, the result should be 11, but the puzzle gives 711 instead. Clearly, something else is happening.
✔ Assuming a hidden multiplication or division – Some people think there’s a multiplication or division pattern involved, but that doesn’t explain all the numbers.
Video : if 2+9=711 then find 12+3=??? tricky number Puzzle with answer
✔ Overcomplicating the logic – Sometimes, the best approach is to look for a simple pattern instead of forcing complex mathematical operations.
If you’re stuck, don’t worry! Let’s break it down step by step and uncover the hidden pattern behind these numbers.
Step-by-Step Guide to Solving the Puzzle
To understand the logic behind these equations, let’s analyze how the numbers are structured.
Step 1: Look for a Pattern in the Results
Instead of performing normal addition, let’s break down each result:
- 9 + 2 = 711
- 14 + 6 = 820
- 17 + 11 = 628
Notice that each result consists of three digits. What could these numbers represent?
Step 2: Identify the Hidden Logic
Let’s analyze the relationship between the input numbers and the output:
- The first digit of the result seems to come from the sum of the two numbers.
- The last two digits of the result seem to come from the product of the two numbers.
Let’s verify this theory:
- 9 + 2 = 11, 9 × 2 = 18 → But the result is 711?
- Instead of 18, it looks like the product’s last two digits are considered.
- If we write 11 first, but take only the last two digits of 9 × 2 = 18, we get 711.
- 14 + 6 = 20, 14 × 6 = 84 → The result is 820.
- First part: Sum = 20
- Second part: Product = 84
- The final number is 820 (placing 20 first, followed by 84).
- 17 + 11 = 28, 17 × 11 = 187 → The result is 628.
- First part: Sum = 28
- Second part: Product = 187, taking the last two digits 87
- The final result is 628.
Step 3: Apply the Logic to the Missing Equation
Now, let’s use this pattern to solve 12 + 3 = ???
- Sum:
- 12 + 3 = 15
- Product:
- 12 × 3 = 36
- Final Answer:
- By following the discovered pattern, we place the sum first, followed by the last two digits of the product:
- 12 + 3 = 915
Final Answer: 915
So, the correct answer to the puzzle is 915!
Conclusion: Challenge Your Brain with More Puzzles
Did you figure out the pattern on your own, or did you need a hint? Either way, this puzzle is a great example of how thinking outside the box can help solve seemingly tricky problems.
Video : Math Puzzles With Answers Only Genius Can Answer
👉 Drop a comment below and let us know how long it took you to solve it!
👉 Share this puzzle with your friends and challenge them—can they solve it faster than you did?
👉 Try more brain teasers to improve your problem-solving skills and have fun while exercising your brain!
Math puzzles like these are excellent for boosting logical thinking and pattern recognition. Keep challenging yourself, and you’ll soon become a master at spotting hidden logic!
Catherine Deneuve: The 60s Icon Who Still Stuns the World With Her Timeless Beauty
It’s been nearly sixty years since 24-year-old Catherine Deneuve and her older sister Françoise Dorléac starred as twins in *The Young Girls of Rochefort*.
The movie, which also featured a young Gene Kelly, was the last film the sisters made together. Deneuve went on to become internationally famous, while Françoise’s life and career were tragically cut short.
Born into an acting family, Deneuve, now 79, made her first appearance in the 1957 French movie *The Twilight Girls*. Her big break came in 1960 when she starred in *The Umbrellas of Cherbourg*, a romantic musical that highlighted her French style and innocence, launching her into stardom. This was just the beginning of many films she would make with director Jacques Demy.

Her talent for dramatic roles caught the eye of legendary director Roman Polanski, who cast her in the psychological thriller *Repulsion*. Deneuve’s brilliant performance as Carol, a mentally troubled woman, earned her the nickname “ice maiden.” This image was solidified in her next film, *Belle de Jour*, where she played a housewife who secretly works as a prostitute—a role that won her awards and global fame.
In 1963, Deneuve became a mother, having a son with French screenwriter Roger Vadim. She later had the chance to star alongside her older sister, Françoise Dorléac, in the 1967 musical *The Young Girls of Rochefort*. The two sisters were very close, and with their similar looks, playing twins in the movie felt natural.
But just three months after *Rochefort* was released, tragedy struck. Françoise, at only 25, died in a car accident, a moment Deneuve describes as the most painful in her life.
“The day I lost my sister, I lost my joy of living… it is the most painful thing I have experienced,” she shared in an interview with *Paris Match*, a French weekly magazine.

The loss of her sister didn’t slow down Catherine Deneuve, who became the epitome of 1960s glamor, often seen as a femme fatale wrapped in Yves Saint Laurent.
Deneuve, known as the face of French cinema, has appeared in over 120 films throughout her 60-year career. Reflecting on how the industry has changed, Deneuve explained, “Human nature is vast. There are roles more suited to people of my generation. As you age, it’s the same in life—you gain experience and play characters you couldn’t when you were 30.” She added, “It’s hard to find the right path. You can age better in Europe than in America. But women today look younger than they did 50 years ago. Back then, a 50-year-old woman looked her age. Now, not so much.”
Despite her worldwide fame, Deneuve has mostly starred in French films, with only a few roles in English-language films.

Catherine Deneuve explained why she mostly supports French cinema, saying, “I feel very French, but I speak Italian and English, so I feel very European. However, I don’t feel close to English people. Even though England is not far, their sensibility and character are very different.” She added, “I feel closer to Spanish or Italian people because the Latin character is different from the Anglo-Saxon one. We have different educations and cultures.”
Some of her English-speaking roles include *The April Fools* with Jack Lemmon (1969), *Hustle* with Burt Reynolds (1973), *March or Die* with Gene Hackman (1977), and the 1983 cult classic *The Hunger*, where she played a lesbian vampire alongside David Bowie and Susan Sarandon.
In 1972, Deneuve divorced British photographer David Bailey, whom she married in 1965 after meeting at a Playboy shoot. Their wedding guests included Mick Jagger. From 1970 to 1974, she was in a relationship with Italian film icon Marcello Mastroianni, with whom she had a daughter in 1972.

In 1980, Catherine Deneuve delivered an award-nominated performance in *The Last Metro*, starring alongside another famous French actor, Gérard Depardieu. This marked the beginning of a successful collaboration, as they would appear in 15 films together.
Deneuve mentioned that she and Depardieu have similar work styles, saying, “We are both instinctive actors. We prefer to arrive on set and figure things out in the moment rather than rehearse ahead of time.”
In the 1990s, Deneuve received an Oscar nomination and a César Award (France’s national film award) for her role in the French period drama *Indochine*. The film, released in 1992, also won an Oscar for Best Foreign Language Film.

The 2000s introduced Catherine Deneuve to new roles, including the award-winning musical drama *Dancer in the Dark*, where she starred alongside the unique Icelandic singer Björk. In 2010, she reunited with Gérard Depardieu for the eighth time in the film *Potiche*.
After appearing in the 2019 film *The Truth* with Ethan Hawke and Juliette Binoche, Deneuve was filming the French movie *Peaceful* when she was hospitalized due to a stroke. Although her family described it as a “very limited” ischemic stroke, production on the film was delayed until July 2020, when the then 76-year-old actress was able to return. Deneuve, who had smoked since she was 16, finally quit after her month-long hospital stay.
Honored with a lifetime achievement award at the 2022 Venice Film Festival, the French icon, who celebrates her 80th birthday this year, continues to thrive, and we look forward to seeing her in many more films!
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