The numerator of a fraction is 3 less than the denominator. If the denominator is increased by 5 and the numerator by 2, we get the fraction 1/2. Find the fraction.
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Step-by-step explanation:
Let numerator be x and denominator be y
ATQ
x+3=y
x-y=-3......(1)
Also,
x+2/y+5=1/2
2x-y=1......(2)
(1)×2
2x-2y=-3
2x-y=1
-. +. -
-y=-4
y=4
Put the value of y in (1)
x-4=-3
x=1
FRACTION IS 1/4
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