Question

If 4/5th of a number exceeds its 3/4th by 8. Then the number is :

Answer 1

Answer:

The required number is 160.

Step-by-step-explanation:

The given question asks for a number whose 4 / 5 th is equal to its 3 / 4 th by 8.It means, if the required number is x then 4 / 5 of x will be equal to ( 3 / 4 of x ) + 8 .

Then, let the required number be a.

According to the question : -

= > 4 / 5 of number = ( 3 / 4 of same number ) + 8

= > 4 / 5 x a = ( 3 / 4 x a ) + 8

= > 4a / 5 = 3a / 4 + 8

= > 4a / 5 = ( 3a + 32 ) / 4

= > 4 x 4a =5( 3a + 32 )

= > 16a = 15a + 160

= > 16a - 15a = 160

= > a = 160

Hence the required number is 160.

Answer 2

4x/5=3x/4 +8

4x/5=(3x+32)/4

16x=15x+160

x=160