SOLUTION: grace is 4 times as old as vicky.five years ago, vicky was 30 years younger than grace. find their present ages.

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Question 173604: grace is 4 times as old as vicky.five years ago, vicky was 30 years younger than grace. find their present ages.
Answer by 303795(602) About Me  (Show Source):
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Vicki's age is v so Grace's age is 4v.
Five years ago Vicki's age was v-5 and Grace's age was 4v-5.
At this time there was an age difference of 30 years
(4v-5) -(v-5) = 30
4v - 5 - v + 5 = 30
3v=30
v=10
i.e. Vicki's age is 10 and Grace's age is 40.
5 years ago Vicki was 5 and Grace was 35.
Note : The difference in their ages is always 30 years!