Q.7 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 the rational number be x.
Then denominator will be x + 8.
Further, according to question,
or
Cross-multiplication gives:
2(x + 17) = 3(x + 7)
or 2x + 34 = 3x + 21
or x = 13
Hence the rational number is .