Question

the denominator of a rational number is greater than its numerator by 8 if the numerator is increased by 17 and denominator is decreased by one the number obtained is 3 / 2 find the rational number

Answer 1

Let the numerator be a

Denominator = a + 8

According to question,

( a + 17) / ( a + 8 - 1) = 3 /2

=> (a + 17) / (a +7) = 3 /2

=> 2a + 34 = 3a + 21

=> 3 a - 2a = 34 - 21

=> a = 13

Numerator = 13

Denominator = 13 + 8 = 21

Required number = 13 /21