Question

The denominator of a rational number is greater than its numerator by 7. If the numerator
is increased by 17 and the denominator is decreased by 6, the new number becomes 2
Find the original number.​

Answer 1

Answer:

15/22

Step-by-step explanation:

let the numerator be x

denominator = x +7

therefore number will be......

x ÷ x + 7

Numerator increased by 17 ......

x + 17 ÷ x +7

Denominator decreases by 6

x + 17 ÷ x +7 - 6 = 2

x + 17 ÷ x +1 = 2

ie,

x + 17 = 2( x +1)

x + 17 = 2x + 2

17 - 2= 2x - x

15 = x = Numerator

x +7 = 22 = Denominator

15 / 22

Answer 2

15/22 is your answer