SOLUTION: the sum on gregs age and sarahs age is 42. gregs age 20 years from now will be twice what sarahs age was 14 years ago

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Question 1094935: the sum on gregs age and sarahs age is 42. gregs age 20 years from now will be twice what sarahs age was 14 years ago
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!

Let x be one of their current ages; suppose it is Sarah's. Then, since the sum of their ages is 42, Greg's current age is 42-x.

We are told that Greg's age 20 years from now will be twice what Sarah's age was 14 years ago.

Greg's age 20 years from now will be (42-x)+20 = 62-x; Sarah's age 14 years ago was x-14. So
62-x+=+2%28x-14%29
62-x+=+2x-28
90+=+3x
x+=+30

Sarah's current age is 30; Greg's is 42-30 = 12