SOLUTION: Samantha is 8 and two-third years older than Jason. The sum of their ages is 23 years. How old is Jason?

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Question 650: Samantha is 8 and two-third years older than Jason. The sum of their ages is 23 years. How old is Jason?
Answer by arden42(16) About Me  (Show Source):
You can put this solution on YOUR website!
First, we express what we know in equation form:
s+=+j+%2B+%288%2B2%2F3%29
s+%2B+j+=+23
Rearranging the second equation to make s the subject gives:
s+=+23-j
Substituting this into the first equation gives:
23-j+=+j+%2B+%288%2B2%2F3%29
Add j to both sides and subtract 8+2/3 from both sides:
%2814%2B1%2F3%29+=+2j
Divide by 2:
j+=+%287%2B1%2F6%29
Jason is 7 and 1/6 years old.