What Values Do A, B, and C Represent in the Equation AA + BB + CC = ABC?
by T Santhosh
Updated Sep 27, 2023
Solving puzzles that make you think in different ways is fun. If you enjoy taking on tricky puzzles and figuring them out, you should definitely try these. Working on these puzzles can also help reduce stress and tiredness. Check out the puzzle below.
What Values Do A, B, and C Represent in the Equation AA + BB + CC = ABC?
Math puzzles make you use your problem-solving skills. They're designed to make you think carefully, analyze the information you have, and use math to find answers.
The image above shows a puzzle, and to solve it, you need to find the hidden pattern that controls its parts. But there's a challenge: you have to figure out the pattern quickly. You need to think fast and be good at analyzing things, all within a short time.
This is a moderately tricky challenge, so people who are really smart and notice small details can do well. When the clock starts ticking, it adds excitement as you race against time. Doing well in this can help you in many areas of your life by giving you valuable skills. It doesn't just make you better at solving problems; it also makes your mind more flexible, which can help you in school, at work, and in your personal life.
Even though this puzzle is tough, your goal is to find a solution that fits the rules and solves the puzzle. In the next part, you'll learn more about how this math puzzle works and the satisfying answer that's waiting for you.
What Values Do A, B, and C Represent in the Equation AA + BB + CC = ABC? Solution
This math puzzle is really tough, and we'd like you to give it a try to find the answer.
A, B, and C are all different positive numbers. Let's start with the value of A. When we add three two-digit numbers, the highest sum we can get is in the 200s. So A can be at most 2. But if A is a three-digit number, it has to be at least 1 to be positive. So A is either 1 or 2.
Now, let's look at the value of B. In the units column, we have A + B + C equals a result that ends with C. This can only happen if A and B add up to a number with a units digit of 0, meaning A + B equals 10. So if A is 1, then B is 9, and if A is 2, then B is 8. We have two cases to consider: 11 + 99 or 22 + 88.
Let's focus on the first case, 22 + 88. That gives us 110, and when we add C, we need the result to be 280 C. Since 110 has a zero in the units place, anything we add to it will give us the same units digit, C. So we look at the tens place, and we have 1 + C equals 8. Solving this equation, we find that C equals 7. But when we try 110 + 77, it doesn't give us the result we want (287). So this case doesn't work.
Now, let's consider the second possibility, 22 + 88. That gives us 110, and when we add C, we want the result to be 190. Again, the units place doesn't help because 0 + C is always C. So we focus on the tens place, where 1 + C equals 9. This means C is 8. We try 110 + 88, and it gives us 198, which is the result we wanted (287). So the answer is 11 + 99 + 88 equals 198.
Take your thinking game to new heights by exploring the carefully curated selection of mind-boggling Brain Teaser and math puzzles available on Fresherslive. Our diverse collection caters to all levels of expertise.
Determine the result of 144 ÷ 12 + 6 x 2 - 18 ÷ 3?
Apply the order of operations as usual. Start with the divisions and multiplications from left to right: 144 ÷ 12 equals 12, and 18 ÷ 3 equals 6. Now the equation becomes 12 + 6 x 2 - 6. Next, perform the multiplications and additions/subtractions from left to right: 6 x 2 equals 12, and 12 + 12 equals 24. Therefore, the solution is 24.
Solve this equation 72 ÷ 8 + 5 x 3 - 9 ÷ 3=?
Remember, you should perform divisions and multiplications from left to right. First, do the divisions: 72 ÷ 8 equals 9, and 9 ÷ 3 equals 3. Now the equation becomes 9 + 5 x 3 - 3. Next, perform the multiplications and additions/subtractions from left to right: 5 x 3 equals 15, and 9 + 15 equals 24. Thus, the solution is 24.
What Values Do A, B, and C Represent in the Equation AA + BB + CC = ABC? FAQs
Puzzles are problems or challenges crafted for entertainment and enjoyment while also contributing to the improvement of our memory and logical abilities.