SOLUTION: Carl is 7 years older than Anne. Fifteen years from now Carl will be 33 years less than twice Anne's age at that time. How old is Carl now?

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Question 1053800: Carl is 7 years older than Anne. Fifteen years from now Carl will be 33 years less than twice Anne's age at that time. How old is Carl now?

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
C = A+7 We'll use this value for C next
and
C+15 = 2(A+15)-33 Substitute for C on the left:
A+7+15 = 2A+30-33
A+22 = 2A-3 Subtract A on both sides and add 3 on both sides:
A-A+22+3 = 2A-A-3+3 Simplify:
25 = A
or, more elegantly:
A = 25 Anne is 25 and so Carl is 25+7 = 32
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In 15 years:
Carl: 32+15 = 47
Anne:25+15 = 40
At that time, 15 years from now, Carl will be 2A-33. Let's see:
47 = 2(40)-33
47 = 80-33 Correct
:
John