Question

The difference between a number and one-fourth of itself is 24,find the number

Answer 1

We can translate the given problem in the

First let the number be x

One fourth of a number means 1/4*x

exceeds its 1/7th. 1/7th of x is 1/7x.

The first term exceeds the second term means the first term is greater than the second.

So,

1/4x - 1/7x

now, the difference is said to be 24

So,

1/4x - 1/7x = 24

solving the equation we get:

7x-4x/28 = 24

3x/28 = 24

x/28 = 8

x= 28*8

x = 224

Answer 2

Let the no=x
One fourth of its=1/4x
X-1/4x=24
4x-x=24*4
3x=96
X=96/3
x=32