SOLUTION: Please help with this problem: The sum of two numbers is 17. If the larger is two more than twice the smaller, find the numbers.

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Question 161318: Please help with this problem: The sum of two numbers is 17. If the larger is two more than twice the smaller, find the numbers.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Smaller number=x
Larger number=2%2B2x, 2 more twice the smaller no.
The sum is 17: ---> x%2B2%2B2x=17, EQN 1
Continuing,
x%2B2%2B2x=17
3x=17-2
3x=15 ------> cross%283%29x%2Fcross%283%29=cross%2815%295%2Fcross%283%29
x=5, smaller number
2%2B2%2A5=2%2B10=12, larger number
Check via EQN 1:
5%2B2%2B2%2A5=17
7%2B10=17
17=17
Thank you,
Jojo