Question

The numerator of a rational number is 7 less than the denominator. If the denominator is increased by
9 and numerator by 2, we get 3/5

. Find the rational number.

Answer 1

Answer:

19/26

Step-by-step explanation:

x/x+7

x+2/x+7+9=3/5

x+2/x+16=3/5

By cross multiplication

3(x+16)=5(x+2)

3x+48=5x+10

38=2x

19=x (numerator)

26=x+7 (denominator)

Hence, the answer is 19/26.