The present ages of A and B are in the ratio 3:5. Eight years from now, their ages will be in the ratio 5:7. Find the present age of A (answer in years).
Competition practiceRatio, Proportion & Mixtures
A15
B12
C10
D20
Step-by-Step Solution
Let ages be 3x and 5x. Then (3x+8)/(5x+8)=5/7, so 7(3x+8)=5(5x+8) → 21x+56=25x+40 → 4x=16 → x=4.A=3x=12 years.
Answer: B) 12
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