Question

The denominator of the fraction is greater than its numerator by 10. If the numerator is made less by 5 and denominator is made more by 15, the new fraction is equal to Find the fraction. 1 3​

Answer 1

Answer:

Step-by-step explanation:

Let the numerator be x.

Then the denominator = x / ( x + 10 ).

By according to the sum,

( x - 5 ) / ( x + 15 ) = 1 / 3

⇒ 3 ( x - 5 ) = x + 15 ( ∵cross multiplication )

⇒ 3x - 15 = x + 15

⇒ 3x - x = 15 + 15 (∵ transposing )

⇒2x = 30

⇒ x = 30 / 2 (∵ transposing )

⇒ x = 15.

∴ The fraction = x / ( x + 10 ) = 15 / ( 15 + 10 ) = 15 / 25 = 3 / 5 is the answer.