3. The denominator of a rational number is greater than its numerator by 7. If 3 is subtracted from the
numerator and 2 is added to its denominator, the new number becomes 1/5.find the rational number
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let numerator be x and denominator be x +7
x-3/x+7+2 = 1/5
after componendo
-12/x+9=-4/5
thenx=6 and number is 6/13
componendo. let. x/y = 2/3 then
(x+y)/y =2+3/3=5/3
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