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
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let numerator be x
∴the denominator will be x+8
⇒x+17/x+8-1=3/2
⇒x+17/x+7=3/2
⇒2(x+17)=3(x+7)
⇒2x+34=3x+21
⇒34-21=3x-2x
⇒13=x
∴x/x+8
=13/21 (Ans )
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