The denominator of a rational number is greater than its numerator by 4. If the numerator is increased by 7 and denominator is decreased by 2 ,the new number brcomes 6/5. Find the original number
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numerator = x
given that,
x+7/x+4-2 = 6/5
x+7/x+2 = 6/5
5(x+7) = 6(x+2)
5x+35 = 6x+12
35-12 = 6x-5x
23 = x
Original number: 23/27
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