SOLUTION: The sum of two numbers is 82. The larger number is 17 less than twice the smaller number. What are the two numbers?

Question 106550: The sum of two numbers is 82. The larger number is 17 less than twice the smaller number. What are the two numbers?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The sum of two numbers is 82. The larger number is 17 less than twice the smaller number. What are the two numbers?
:
Just write what it says:
:
"The sum of two numbers is 82."
Let larger number = x;
then
(82-x) = the smaller number
:
"The larger number is 17 less than twice the smaller number"
x = 2(82-x) - 17
x = 164 - 2x - 17
x + 2x = 164 - 17
3x = 147
x = 147/3
x = 49
Then
82 - 49 = 33 = the smaller number
:
:
Check our solution using the statement:
"The larger number is 17 less than twice the smaller number."
49 = 2(33) - 17
49 = 66 - 17; confirms our solution

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