SOLUTION: The sum of two nubers is 94. The larger number is 8 less than twice the smaller number. What is the larger number?
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Question 124047: The sum of two nubers is 94. The larger number is 8 less than twice the smaller number. What is the larger number?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Let x = larger number
Let y = smaller number
:
Just write an equation for what each statement says:
:
The sum of two numbers is 94.
x + y = 94
or
y = (94 - x)
:
The larger number is 8 less than twice the smaller number.
x = 2y - 8
:
Substitute (94-x) for y in the above equation
x = 2(94-x) - 8
:
x = 188 - 2x - 8
:
x + 2x = 188 - 8
:
3x = 180
x =
x = 60 is the larger number:
:
You can find the smaller number, and check the solutions in the equation:
x = 2y - 8
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