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.
Answers
Answered by
12
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
Answered by
8
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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