A boy was asked to multiply a number by 25 but by mistake he multiplied by 45 and the answer was 200 more than the correct answer. What was the number?78910
Question
A boy was asked to multiply a number by 25 but by mistake he multiplied by 45 and the answer was 200 more than the correct answer. What was the number? 78910
Solution
Let's solve the problem step by step:
- Let's assume the correct number that the boy was supposed to multiply is "x".
- According to the problem, the boy mistakenly multiplied the number by 45 instead of 25.
- So, the incorrect multiplication can be represented as 45x.
- The problem also states that the incorrect answer was 200 more than the correct answer.
- Mathematically, we can represent the correct answer as 25x and the incorrect answer as 25x + 200.
- Since the incorrect answer is 200 more than the correct answer, we can set up the equation: 45x = 25x + 200.
- Now, let's solve the equation for x: 45x - 25x = 200 20x = 200 x = 200 / 20 x = 10
Therefore, the number that the boy was supposed to multiply is 10.
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