SOLUTION: The larger of two numbers is 7 less than five times the smaller number. The sum of the two numbers is 83. Find the two numbers.

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Question 351632: The larger of two numbers is 7 less than five times the smaller number. The sum of the two numbers is 83. Find the two numbers.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Hi,
Let x be the smaller number.
Write as You Read: (5x-7) would be the larger number
.
question states
x + (5x-7) = 83
.
simplify and solve
6x = 90
x = 15
(5x-7) = 68
.
check your answer
15 + 68 = 83