# SOLUTION: Alice is 8 years older than her brother john. in 5 years she will be twice as old as john. how old are alice and john now?

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 Click here to see ALL problems on Age Word Problems Question 296356: Alice is 8 years older than her brother john. in 5 years she will be twice as old as john. how old are alice and john now?Answer by Earlsdon(6287)   (Show Source): You can put this solution on YOUR website!Let A = Alice's present age and J = John's present age. 1) A = J+8 "Alice is 8 years older than...John." 2) A+5 = 2(J+5) "In 5 years,she will be twice as old as John." Substitute A = J+8 from equation 1) into equation 2) and solve for J. 2a) (J+8)+5 = 2(J+5) Simplify and solve for J 2b) J+13 = 2J+10 Subtract J from both sides. 2c) 13 = J+10 Subtract 10 from both sides. 2d) J = 3 and A = J+8 = 11 Alice is 11 years old and John is 3 years old.