The age of X is 2/3rd that of Y. After 6 years, X will be 46 years old. The present age of Y is

Given:

The age of X is $\frac{2}{3}$ that of Y.

After 6 years, X will be 46 years old.

Formula Used:

Present age of X = Future age of X - Number of years in the future

Present age of Y = (Present age of X × 3) / 2

Calculation:

Future age of X = 46 years

Number of years in the future = 6

Present age of X = Future age of X - 6

⇒ Present age of X = 46 - 6

⇒ Present age of X = 40 years

Age relation: Age of X = 2/3 × Age of Y

⇒ Age of Y = (Age of X × 3) / 2

⇒ Age of Y = (40 × 3) / 2

⇒ Age of Y = 120 / 2

⇒ Age of Y = 60 years

The present age of Y is 60 years.