The sum of the ages of two person A and B is 50. Five years ago , the ratio of their ages was 5:3 . The present age of A and B is a) 30 and 20 b) 35 and 15 c) 38 and 12 d) 40 and 10.
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Answer: Suppose the age of person A is x years
Since the sum of ages of both persons = 50,
{Age of person B = 50-x}Age of person B = 50-x
f{5 years ago -}5 years ago -
Age of person A = x-5
Age of person B = 50-x-5 = 45-x
Since 5 years ago,
{Ratio of their ages was 5/3,}Ratio of their ages was 5/3,
=> (45-x)/(x-5) = 5/3
=> 3(45-x) = 5(x-5)
=> 135 - 3x = 5x - 25
=> 8x = 160
=> {x = 20}x = 20
=> {50-x = 30}50-x = 30
Present age of person A is 20 years}Present age of person A is 20 years
Present age of person B is 30 years}Present age of person B is 30 years
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