SOLUTION: The sum of two numbers is 13. The sum of 3times the larger and 5 times the smaller is 45. Find the numbers.

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Question 1129506: The sum of two numbers is 13. The sum of 3times the larger and 5 times the smaller is 45. Find the numbers.
Answer by addingup(3677) About Me  (Show Source):
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x + y = 13 therefore y = 13 - x
3x + 5y = 45 Substitute for y
3x + 5(13 - x) = 45
3x + 65 - 5x = 45
-2x = -20
x = 10
y = 13 - x = 13 - 10 = 3
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Check:
3x + 5y = 45
3(10) + 5(3)
30 + 15 = 45 Correct