178k views
1 vote
Andrea is three times Nick's age. In 10 years, Andrea will be twelve years older than Nick.

What are their ages now?

User Ptitaw
by
7.1k points

1 Answer

6 votes

Answer:

Nick is 6

Andrea is 18

Explanation:

Sounds like a system of equations

Letting...

a = Andrea

n = Nick

Since she's 3 times the age, the first equation will be

a = 3n

Since in 10 years, Andrea will be 12 years older than Nick, we can write

a = n + 12

Since we have two a = ,we can set them equal to each other

3n = n + 12

Subtracting n

3n - n = 12

Now combining the n's (n is the same as 1n)

2n = 12

And last but not least, we can divide by 2

n = 6... so Nick is 6 right now.

Going back to our first equation of a = 3n, if we plug 6 in

a = 6(3) = 18.

Making Andrea 18 right now

User Peter Winton
by
7.6k points