SOLUTION: The sum of Anji's age and Carol's age is 66. Carol's age is 2 more than 3 times Anji's age. How old are Carol and Anji?

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Question 186080This question is from textbook Holt Algebra 1
: The sum of Anji's age and Carol's age is 66. Carol's age is 2 more than 3 times Anji's age. How old are Carol and Anji? This question is from textbook Holt Algebra 1

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let a= Anji's age
Let c= Carol's age
given:
(1) a+%2B+c+=+66
(2) c+=+3a+%2B+2
Subtract 3a from both sides of (2)
(2) -3a+%2B+c+=+2
Subtract (2) from (1)
(1) a+%2B+c+=+66
(2) -%28-3a%29+-+c+=+-2
(3) 4a+=+64
(3) a+=+16
and, since
(1) a+%2B+c+=+66
(1) 16+%2B+c+=+66
(1) c+=+50
Anji's age is 16, and Carol's age is 50
check:
(2) c+=+3a+%2B+2
(2) 50+=+3%2A16+%2B+2
(2) 50+=+48+%2B+2
(2) 50+=+50
OK