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Ten years ago, P was half of Q's age. If the ratio of their present ages is 3:4, what will be the total of their present ages?

1. Ten years ago, P was half of Q's age. If the ratio of their present ages is 3:4, what will be the total of their present ages?
A. 45 B. 40
C. 35 D. 30



 Let the present age of P and Q be 3x and 4x respectively.

 Ten years ago, P was half of Q's age
=> (3x – 10) = 
1
2
12(4x – 10)
=> 6x – 20 = 4x – 10
=> 2x = 10
=> x = 5

 total of their present ages = 3x + 4x = 7x = 7 × 5 = 35

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