SOLUTION: the sum of two number is 55. 4 times the smaller is five less than the larger.what is the numbers

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Question 519243: the sum of two number is 55. 4 times the smaller is five less than the larger.what is the numbers

Answer by nerdybill(7384) About Me  (Show Source):
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the sum of two number is 55. 4 times the smaller is five less than the larger.what is the numbers
.
Let x = smaller number
and y = larger number
.
x + y = 55
4x = y-5
.
rewrite the second equation, combine with the first:
x + y = 55
4x - y = -5
--------------
5x = 50
x = 10 (smaller number)
.
substitute above into:
x + y = 55
10 + y = 55
y = 45 (larger number)
.
solution: 10 and 45