SOLUTION: jason is 22 years older than his sister Kate. In 14 years, he will be twice as old as Kate. How old is each of them now?

Question 1129987: jason is 22 years older than his sister Kate. In 14 years, he will be twice as old as Kate. How old is each of them now?

Answer by ikleyn(52796) (Show Source): You can put this solution on YOUR website!
.

J = K + 22.             (1)


In 14 years:


J + 14 = 2*(K + 14)     (2)


Substitute (1) into (2):


(K+22) + 14 = 2*(K+14)


and solve:


K + 36 = 2K + 28

36 - 28 = 2K - K

K = 8     is the Kate's age     ANSWER

J = K + 22 = 8 + 22 = 30   is the Jason's age.      ANSWER

Solved.

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