Algebrahard · Past Paper
A fraction becomes 1/3 if 1 is subtracted from the numerator and it becomes 1/4 if 8 is added to the denominator. Find the fraction.
A5/12
B4/12
C3/12
D7/12
✓ Correct Answer: A — 5/12
(x-1)/y = 1/3 -> 3x-3=y. x/(y+8) = 1/4 -> 4x=y+8. Substitute y: 4x = 3x-3+8 -> x=5, y=12.
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