Question

The ages of A and B are in the ratio 3:5. Ten years later, the ratio of their ages will be 31:45. Their present ages are (in years)
(1) 21, 35
(2) 24, 40
(3) 18, 30
(4) 27, 45

Answer 1

ages are 21&35 years

Answer 2

Answer:

option (1) is correct

Step-by-step explanation:

Let the present ages of A and B be x and y.

As per data,

x : y = 3 : 5

Then,

x = 3k

y = 5k

Also,

Ten years later,

x+10 : y+10 = 31: 45

$\frac{x+10}{y+10}=\frac{31}{45} \\\\\frac{3k+10}{5k+10}=\frac{31}{45}$

135k + 450 = 155k + 310

140 = 20k

k = 140/20

k = 7

Therefore, their present ages are

x = 21, y= 35