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 3/2. Find the rational number.
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let numerator be x then 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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