Question

the denominator of a rational is greater than its numerator by 7. if the numerator is increased by 17 and denominator decreased by 6 by new number become 2 find original number

Answer 1

let the numerator be X
denominator=X+9
X/X+9
X+17/x-6+2
X+17/x-4
X+17=x-4
=21
the original number is 21

Answer 2

Let the numerator be X
Then denominator =X+7

Now A/Q
X+17/X+7-6=2
X+17=2X+2
X-2X=2-17
-X=-15
X=15


Now Numerator=X=15
Denominator=15+7=22

Fraction=15/22

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