2. Lexi is 9 years older than John. Next year, she will be 4 times as old as he will be. Find their ages now.

Answer 1

Lexi's age now = L

John's age now = J

Form two equations. Since Lexi is nine years older than John, we have:

Now: L = 9+J

The next year, Lexi and John's ages will each increase by 1. Since Land J refer to their ages now, we have to increase their by 1 when writing our next equation:

Next Year: L+1 = 4(J+1)

Now we have to equations and can proceed to solve the system of equations.

L = 9+J

L+1 = 4(J+1)