Ten years ago, P was half of Qs age. If the ratio of their present ages is 3:4, what will be the total of their present ages?
45
40
35
30
Explanation:
Let the present age of P and Q be 3x and 4x respectively.
Ten years ago, P was half of Qs age
=> $\left(3x - 10\right)$ = $\dfrac{1}{2}(4x - 10)$
=> 6x - 20 = 4x - 10
=> 2x = 10
=> x = 5
total of their present ages = 3x + 4x = 7x = 7 × 5 = 35