Question

solve the following equation 2. the denominator of a rational number is greater than it's numerator by 8. if the thenumerator is increased by 17 and the denominator is decreased by 1, the number obtained is 3/2. find the rational number​

Answer 1

Answer:

let the numerator be x. Then denominator is x+8.

According to problem,

x+17/x+8-1 = 3/2

=> x+17/x+7 = 3/2

=> x+17 × 2 = x+7 × 3 (cross multiplication)

=> 2x+34 = 3x + 21

=> 3x-2x = 34-21

=> x = 13

numerator = x = 13

denominator = x+8 = 13 +8 = 21

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