Algebrahard · Past Paper
A fraction becomes 1/3 when 1 is subtracted from the numerator and it becomes 1/4 when 8 is added to its denominator. Find the fraction.
A5/12
B4/12
C7/12
D3/12
✓ 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 -> 4x=3x+5 -> x=5. y=3(5)-3=12. Fraction is 5/12.
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