SOLUTION: Rose is 4 years older than Samuel.In 5 years time,thier total age will be 30 years. How old is each now?

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Question 1148701: Rose is 4 years older than Samuel.In 5 years time,thier total age will be 30 years.
How old is each now?
Found 2 solutions by Boreal, greenestamps:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
S is x
R is x+4
in five years, S will be x+5 and R will be x+9 for a sum of 2x+14=30
2x=16
x=8
S is 8
R is 12
in 5 years, they will be 13 and 17.

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


If a formal algebraic solution is not required, it might go something like this.

Since the sum of their ages 5 years from now will be 30, the sum of their ages now is 30-(5+5) = 20.

If they were now the same age and the sum of their ages is 20, their ages would be 10 and 10.

To make a sum of the two ages that is 20 with a difference of 4 between the two ages, add and subtract 2 from 10 to get 12 and 8.

ANSWER: Rose is 12 and Samuel is 8.