Present ages of A and B are in the ratio 5 : 6 respectively. After seven years this ratio becomes 6 : 7. Then the present age of A in years is = ?

Solution (By Examveda Team)

Let the age of A & B = 5x and 6x years
According to question,
$$\eqalign{ & \frac{{5x + 7}}{{6x + 7}} = \frac{6}{7} \cr & 35x + 49 = 36x + 42 \cr & x = 7 \cr & {\text{A's Present age}} = 5x \cr & = 5 \times 7 = {\text{35 years}} \cr} $$