Question

A student was asked to divide a number by 5/4. By mistake he didivded the given number by 4/5. His answer exceeds the correct answer by 54. Find the number.​

Answer 1

let the required number be x.

Then,$x$ × $\frac{4}{5}$ = $\frac{4x}{5}$.

Now according to question,

$\frac{x}{4/5}$=54+$\frac{4x}{5}$.

=》x × $\frac{5}{4}$=54+$\frac{4x}{5}$.

=》 $\frac{5x}{4}$ = 54+$\frac{4x}{5}$

=》 $\frac{5x}{4}$ -$\frac{4x}{5}$ = 54

=》$\frac{25x-16x}{20}$ = 54

=》$\frac{9x}{20}$ = 54

=》9x =54×20

=》9x =1080

=》x =$\frac{1080}{9}$

=》x=120

the number was 120

Answer 2

ANSWER = 80

Step-by-step explanation:

Let the given number be x,

Original answer = 4/5x

 Wrong answer = x/1  /  4/5

                          = x multiplied by 5/4

                          = 5x/4

So,

5x/4 = 36 + 4x/5

5x/4 - 4x/5 = 36

(25x - 1) / 20 = 36

9x/20 = 36

x = (36 multiplied by 20)  /  9

So, x = 80

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