। 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 1 the number obtained is Find the rational number.

। The denominator of a rational number is greater than its numerator

1.	। 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 1 the number obtained is Find the rational number.
Answer» Let the NUMERATOR of the rational number be x.So as per the given condition, the denominator will be x + 8.The rational number will be xx+8According to the given condition,x+17x+8−1=32 x+17x+7=32 3(x + 7) = 2(x + 17)3x + 21 = 2x + 343X – 2x + 21 – 34 = 0x – 13 = 0x = 13The rational number will be= xx+8= 1313+8Rational number = 13/21