William is 3 times elder than Monica. In 6 years William will be twice as old as Monica. What are their current ages.

Current age of Monica=6 years

and current age of William=18 years

Step-by-step explanation:

Let Monica's current age be x years and William's current age be y years.

William is 3 times elder than Monica.

⇒ y=3x

In 6 years William will be twice as old as Monica.

⇒ y+6=2 (x+6)

⇒ y+6=2x+12

⇒3x+6=2x+12

⇒ x=6

Hence, y=3*6=18

That means, current age of Monica=6 years

and current age of William=18 years

William is 18, Monica is 6 ... 6 x 3=18 Three times as old ... in 6 years William will be 24, Monica will be 12 ... Twice as old ... 12 x 2 = 24