At present the ratio of the ages of A to B is 3:8 and that of A to C is 1:4. Three years ago , the sum of the ages of A, B & C was 83 years. What is the present age (in years) of C ? {
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Answer:
48
Step-by-step explanation:
1. A/B=3/8 => 8A=3B
2. A/C=1/4 => 4A=C
3. A+B+C-3*3=83 => A+B+C=92
From 1 & 2 we get:
4A=C => A=C/4
2C=3B => B=2C/3
Now:
A+B+C=92
C/4+2C/3+C=92
C*(1/4+2/3+1)=92
C=48
A=12
B=32
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