SOLUTION: amy is 3 years older than kevin. the sum of their ages is 39. how old is kevin?

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Question 937699: amy is 3 years older than kevin. the sum of their ages is 39. how old is kevin?

Found 2 solutions by TimothyLamb, josmiceli:
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x = amy age
y = kevin age
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x = y + 3
x + y = 39
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put the system of linear equations into standard form
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x - y = 3
x + y = 39
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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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solution:
x = 21
y = 18
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Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = Amy's age now
Let +k+ = Kevin's age now
(1) +a+=+k+%2B+3+
(2) +a+%2B+k+=+39+
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Substitute (1) into (2)
(2) +k+%2B+3+%2B+k+=+39+
(2) +2k+%2B+3+=+39+
(2) +2k+=+36+
(2) +k+=+18+
Kevin is 18
check:
(1) +a+=+18+%2B+3+
(1) +a+=+21+
and
(2) +a+%2B+18+=+39+
(2) +a+=+21+
OK