Question

Find a number such that one fourth of it,is less than one third of it by 4

Answer 1

Let the no. be x.

By the given condition

: x/3 - x/4 = 4

4x/12 -3x/12 = 4

4x - 3x/12 = 4

x/12 = 4

x = 4 × 12

x = 48.

Therefore, the number is 48.

Answer 2

Question :

Find a number such that one fourth of it,is less than one third of it by 4.

Answer :

The number is 48.

Given :

One fourth of a number is less than one third of it by 4.

To find :

The number

Solution :

Let the number be x

According to the problem,

x/4 + 4 = x/3

=> 4 = x/3 - x/4

=> 4 = (4x - 3x)/12

=> 4 = x/12

=> x = 12 × 4

=> x = 48

1/3 of 48 = 16

1/4 of 48 = 12

Hence one fourth of 48 ( 12 ) is less than one third of it ( 16 ) by 4 [ 16-12 = 4]

Hence, the number is 48.

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