the donominator 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 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
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