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The present ages of three persons are in proportions 4 : 7 :9 Eight years ago , the sum of their ages was 56 . Find their present ages.

Options:
A .   8 , 20 , 28
B .  16 , 28 , 36
C .  20 , 35 , 45
D .  none of these
Answer: Option B

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8 years ago a+b+c = 56
After 8 years a+b+c = 56+ (3*8)
a+b+c = 80
From ratio , a:b = 4:7 , a= 4b/7
Similarly c= 9b/7
Substitute in eqn (1)
4b/7 + b + 9b/7 = 80
b= 28 a= 16 c = 36

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