Question

The denominator of a rational number is 7 more than the numerator. If 1 is added to the numerator and 1 is subtracted from denominator the new number is 1/2. Find the rational number ?​

Answer 1

Answer:

4/11

Explanation:

Let the numerator be x.

So, denominator = x + 7

According to the question,

(x + 1)/(x + 6) = ½

2 (x + 1) = (x + 6)

2x + 2 = x + 6

x = 4

Numerator = 4

Denominator = 4 + 7 = 11

Therefore, the rational number is 4/11