One fourth of a number exceeds one fifth of its succeeding number by 3

1.	One fourth of a number exceeds one fifth of its succeeding number by 3. Then thenumber is
Answer» We have to convert the given word problem into algebraic equation. Let the number = x One fourth of the number = ( 1/4 ) × x = x / 4 Succeeding number of x = ( x + 1 ) One fifth of the above number = ( 1/5 ) × ( x + 1 )= ( x + 1 ) / 5 According to the problem , One fourhth of a number exceeds one fifth of its succeeding number by 3. x / 4 - ( x + 1 ) /5 = 3 LCM ( 4 , 5 ) = 4 × 5 = 20 [ 5x - 4 ( x + 1 ) ] / 20 = 3 5x - 4x - 4 = 3 × 20 x - 4 = 60 x = 60 + 4 x = 64 Therefore , Required number = x = 64

One fourth of a number exceeds one fifth of its succeeding number by 3. Then thenumber is

Answer»

We have to convert the given word problem into

algebraic equation.

Let the number = x

One fourth of the number = ( 1/4 ) × x = x / 4

Succeeding number of x = ( x + 1 )

One fifth of the above number = ( 1/5 ) × ( x + 1 )= ( x + 1 ) / 5

According to the problem ,

One fourhth of a number exceeds one fifth of its

succeeding number by 3.

x / 4 - ( x + 1 ) /5 = 3

LCM ( 4 , 5 ) = 4 × 5 = 20

[ 5x - 4 ( x + 1 ) ] / 20 = 3

5x - 4x - 4 = 3 × 20

x - 4 = 60

x = 60 + 4

x = 64

Therefore ,

Required number = x = 64