Question

the denominator of a rational number is greater than its numerator by 4. if the number is increased by 1 and the denominator is increased by 3 , the no. is obtained is 1/2. Find the rational number

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Answer 1

Answer:

The denominator of a rational number is greater than its numerator by 8.

Step-by-step explanation:

Suppose numerator of the rational number is p, then denominator is p+8.

Rational number is

p+8

p

.

Numerator is increased by 17, then it becomes p+17.

Denominator is decreased by 1, then it becomes p+8−1=p+7

New rational number is

p+7

p+17 = 23

2p+34=3p+21⇒p=13

Thus numerator is 13.

Denominator is p+8=13+8=21

Therefore, the rational number is

21

13

.

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