Question

The denominator of a rational number is 7 more than the numerator. When the denominator and numerator
are increased by 10 and 3 respectively, the resulting number is
3/4 Find the original number.
​

Answer 1

Step-by-step explanation:

Let the numerator of the rational number be x.

So as per the given condition, the denominator will be x + 8.

The rational number will be x/x+8

According to the given condition,

x+17/x+8−1=32

x+17/x+7=32

3(x + 7) = 2(x + 17)

3x + 21 = 2x + 34

3x – 2x + 21 – 34 = 0

x – 13 = 0

x = 13

The rational number will be

= x/x+8

= 13/13+8

Rational number = 13/21