Question

the ages of X and Y are in the ratio of 3:1. after 15 years the ratio will be 2:1. their present ages are? (in years)​

Answer 1

X= 45 and Y=15

This is the answer.

Answer 2

According to question we have given;

Ages of X and Y in the ratio 3 : 1

Let present age of X be 3a

and present age Y be a.

After 15 years...

Age of X = 3a + 15

And age of Y = a + 15

Ratio of X and Y after 15 years = 2 : 1

$\dfrac{3x\:+\:15}{x\:+\:15}$ = $\dfrac{2}{1}$

Cross-multiply them

1 (3a + 15) = 2 (a + 15)

3a + 15 = 2a + 30

3a - 2a = 30 - 15

$\boxed{a\: = \:15}$

$\textbf{Present age of X = 3a}$

= $\textbf{3 (15)}$

= $\textbf{45 years}$

$\textbf{Present age of Y = a}$

= $\textbf{15 years}$