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?
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?
Solution
Let's solve the problem step by step:
Let's assume the correct number is "x".
Step 1: The boy was asked to multiply the number by 25, but he multiplied by 45 instead. So, the incorrect calculation is 45x.
Step 2: The incorrect answer was 200 more than the correct answer. This can be written as: 45x = correct answer + 200.
Step 3: To find the correct answer, we need to subtract 200 from the incorrect answer. So, correct answer = 45x - 200.
Step 4: Now, we can set up an equation to solve for x. 45x - 200 = x.
Step 5: Simplify the equation. 45x - x = 200. 44x = 200.
Step 6: Solve for x. x = 200 / 44. x = 4.545.
Therefore, the number is approximately 4.545.
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