SOLUTION: Jan is 7 years older than Anna. How old are Jan and Anna, respectively, if double the sum of their combined ages is 66?

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Question 1085263: Jan is 7 years older than Anna. How old are Jan and Anna, respectively, if double the sum of their combined ages is 66?
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Jan's age now
Let +b+ = Anna's age now
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(1) +a+=+b+%2B+7+
(2) +2%2A%28+a+%2B+b+%29+=+66+
----------------------------
(2) +2a+%2B+2b+=+66+
(2) +a+%2B+b+=+33+
Plug (1) into (2)
(2) +b+%2B+7+%2B+b+=+33+
(2) +2b+=+26+
(2) +b+=+13+
and
(1) +a+=+b+%2B+7+
(1) +a+=+13+%2B+7+
(1) +a+=+20+
-----------------------
Jan is 20
Anna is 13
-----------------------
check:
Jan is 7 years older than Anna.
TRUE
double the sum of their combined ages is 66
+2%2A%28+20+%2B+13+%29+=+66+
+2%2A33+=+66+
+66+=+66+
OK

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
Jan is 7 years older than Anna. How old are Jan and Anna, respectively, if double the sum of their combined ages is 66?
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J - A = 7
J + A = 33
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