# Buddy is thrice the age of Nimfa. Six years later, Buddy will be twice as old as Nimfa. How old is each?

Jul 9, 2016

Buddy's age is 18 and Nimfa's age is 6

#### Explanation:

It is said that Buddy's age is 3 times the age of Nimfa

Let us represent Nimfa's age as x
Meaning, Buddy's age will be represented as 3x

Next, in 6 years, Buddy's age is twice as old as Nimfa's age

Meaning that Buddy's age will be twice as old as Nimfa in 6 years

$2 x = x + 6$
$2 x - x = x - x + 6$
$x = 6$
Basically, x=6. And as mentioned, Nimfa's age shall be represented as x, which is equals to 6 and Buddy's age is thrice the age of Nimfa.

That's why Buddy's age is 3 times 6, 18 and Nimfa is 6 years old