Quantitative Aptitude :: Problems on Ages - Discussion

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Explanation:
Ratio of their present ages = 3:4
So, the present age of P and Q will be 3x and 4x.
Given, Ten years ago P was half of Q in age.
=> (3x - 10) = (4x - 10)/2
=> 6x - 20 = 4x - 10
=> 2x = 10
=> x = 5
So, Total of their present ages = (3x + 4x) = 7x = 7*5 = 35