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Question

The ages of two persons differ by 16 years . If 6 years ago , the elder one be 3 times as old as the younger one , Find their present ages.


Options:
A .  12 years and 26 years
B .  14 years and 28 years
C .  14 years and 30 years
D .  16 years and 28 years.
Answer: Option C

Sol.           Let the age of the younger person be `x` years,

                  Then , age of the elder person =  `(x + 16) `years

`:.`              `3(x - 6) = (x + 16 - 6)`

`hArr            3x - 18 = x + 10`

`hArr            2x = 28`

`hArr             x = 14`

Hence , their present ages are 14 years and 30 years..         



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