# math

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kristyn is 4 years younger than mario. 3 years from now, she will be two thirds as old as mario. find their present age.

• math -

k = Kristyn
m = Mario

k = m -4
(k + 3)= 2/3(m + 2)

Substitute the value of k in the second equation.

m - 4 + 3 = 2/3m + 4/3
m - 1 = 2/3m + 4/3

ELIMINATE FRACTION BY MULTIPLYING THE EQUATION BY 3.

3(m - 1) = 3(2/3m + 4/3)
3m - 3 = 2m + 4

3m - 2m - 3 + 3 = 2m - 2m + 4 + 3

m = 7

Now put the value of m in the first equation. Or you can subtract 4 from 7.

k = 7 - 4
k = 3

Kristyn is 3
Mario is 7

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