The denominator of a rational number is greater than its numerator by 8. If the numerator is increased by 17 and the denominator is decreased by 1, the number obtained is 3/2 Find the rational number.

Let the numerator of a rational number be x, then the denominator is x+8.
Therefore, Rational number = x/x+8
According to the question, x+17/x+8-1=3/2
⟹ x+17/x+7 =3/2
⟹ 2(x+17)=3(x+7)
⟹ 2x+34=3x+21
⟹ 2x-3x=21-34
⟹ -x=-13 ⟹ x=13

Hence, the required rational number = x/x+8 = 13/13+8 =13/21

Class 8 Maths Chapter 2 Exercise 2.6 Solution in Video

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