Question

Shyam was asked to multiply a given number by 5/6 . By mistake he divided the number by 5/6 . His answer was 55 more than the correct answer. What was the given number ?​

Answer 1

Answer:

Let the given number be x

According to the condition,

x×4/5=(4/5)x

But by mistake a student divides the given number

Then,

x÷4/5=x×5/4

=(5/4)x

Hence,

(5/4)x−(4/5)x=36

(25x−16x)/20=36

9x/20=36

9x=36×20

x=(36×20)/9

We get,

x=80

Therefore, the given number is 80.

Answer 2

Given :- Shyam was asked to multiply a given number by 5/6 . By mistake he divided the number by 5/6 . His answer was 55 more than the correct answer.

To Find :- What was the given number ?

Solution :-

Let us assume that, the given number was x .

So,

$\rightarrow\sf \: correct \: answer = x \times \frac{5}{6} = \frac{5x}{6} \\ \\ \rightarrow\sf \: His \: answer = x \div \frac{5}{6} = x \times \frac{6}{5} = \frac{6x}{5}$

A/q,

→ His answer - Correct answer = 55

$\rightarrow\sf \: \frac{6x}{5} - \frac{5x}{6} = 55 \\ \\ \rightarrow\sf \: \frac{36x - 25x}{30} = 55 \\ \\ \rightarrow\sf \: \frac{11x}{30} = 55 \\ \\ \rightarrow\sf \: x = \frac{ \cancel{55} \times 30}{ \cancel{11}} \\ \\ \rightarrow\sf \: x = 5 \times 30 \\ \\ \rightarrow \large\boxed{\bf \: x = 150}$

Hence, the given number was 150 .

Learn more :-

let a and b positive integers such that 90 less than a+b less than 99 and 0.9 less than a/b less than 0.91. Find ab/46

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