SOLUTION: a number is twelve less than five times another number.their sum is one hundred sixty-two. what are the numbers

Question 472097: a number is twelve less than five times another number.their sum is one hundred sixty-two. what are the numbers
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
a number is twelve less than five times another number.
their sum is one hundred sixty-two.
what are the numbers
:
Let x = "a number"
Let y = "another number"
:
Write an equation for each statement.
:
"a number is twelve less than five times another number."
x = 5y - 12
:
"their sum is one hundred sixty-two."
x + y = 162
replace x with (5y-12)
(5y-12) + y = 162
5y + y = 162 + 12
6y = 174
y =
y = 29
:
Find x
x = 5(29) - 12
x = 145 - 12
x = 133
:
:
Check
133 + 29 = 162
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