# math

the denominator of a rational number is greater than its numerator BY 7 if the numerator is increased by 17 and the denominator is deacreased by 6 the new number becomes 2 find the orginal number

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1. original number ---- x/(x+7)

new number: (x+17)/(x+7-6)
= (x+17)/(x+1)

(x+17)/(x+1) = 2
2x + 2 = x+17
x = 15

the original number was 15/22

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