Arithmetichard · Past Paper
A sum of money is divided among A, B, C such that A gets 1/2 of what B and C together get, and B gets 1/4 of what A and C together get. The ratio A:B:C is:
A5:3:7
B2:1:3
C1:2:3
D3:5:7
✓ Correct Answer: A — 5:3:7
A = (B+C)/2 => 2A=B+C. B = (A+C)/4 => 4B=A+C. Sub C=4B-A into 1st: 2A=B+4B-A => 3A=5B => A/B=5/3. If A=5, B=3, then C=4(3)-5=7. Ratio 5:3:7.
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