SOLUTION: Mary is 7 years younger than Jane. In four years'time, Mary will be one year older than half of Jane's age at that time. How old are Mary and Jane now?

Question 623183: Mary is 7 years younger than Jane. In four years'time, Mary will be one year older than half of Jane's age at that time. How old are Mary and Jane now?
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let M = Mary's present age and J = Jane's present age.
1) "Mary is 7 years younger than Jane."
2) "In 4 year's time, Mary will be one year older than half of Jane's age at that time."
Substitute M from equation 1) into equation 2).
3) Simplify and solve for J.
3a) Multiply through by 2 to clear the fraction.
3b) Subtract J from both sides.
3c) Add 6 to both sides.
3d) Jane is 12 years old.
2a)
2b) Mary is 5 year old.
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