Question

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

Answer 1

Answer:

The given number n =120

Step-by-step explanation:

Let the required number be n.

Let the quotient we get on dividing it be q.

By data

    n÷(5÷4) = q  be equation 1

   n÷(4÷5) = q+54 be equation 2

Dividing equation 1 and equation 2

we get

16÷25 = q÷(q+54)

16q + 864 = 25q

   9q= 864

 q= 96

The quotient q =96, substituting the value of q in equation 1 we get

4×n÷5=q

n= q×5÷4

  n =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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