Question

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

Answer 1

Answer:

120

Step-by-step explanation:

Let the number be x

Then according to question,

x÷4/5=x÷5/4 + 54

5x/4=4x/5 + 54

5x/4 - 4x/5=54

(25x-16x)/20=54

9x/20=54

x=54×20/9

x=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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