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?​

Answer 1

Answer:

The answer is 10

Step-by-step explanation:

The number be n

He was asked to= 25n

What he did= 45n

The answer was 200 more than answer

45n = 25n + 200

20 n = 200

n = 200÷20= 10

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Answer 2

The number is 10

Given :

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

To find :

The number

Solution :

Step 1 of 2 :

Form the equation to find the number

Let the required number = x

The boy was asked to multiply a number by 25

∴ The correct answer = 25x

Now , by mistake the boy multiplied by 45 and the answer was 200 more than the correct answer

∴ The correct answer = 45x - 200

So by the given condition

$\displaystyle \sf 45x - 200 = 25x$

Step 2 of 2 :

Find the number

$\displaystyle \sf 45x - 200 = 25x$

$\displaystyle \sf{ \implies }45x - 25x = 200$

$\displaystyle \sf{ \implies }20x = 200$

$\displaystyle \sf{ \implies }x = \frac{200}{20}$

$\displaystyle \sf{ \implies }x = 10$

Hence the required number = 10

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