SOLUTION: The sum of two numbers is 175. The larger number is three more than three times the smaller number. Write a system of equations, and solve the system to find the numbers.

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Question 170702: The sum of two numbers is 175. The larger number is three more than three times the smaller number. Write a system of equations, and solve the system to find the numbers.
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Let x=smaller number
So, 3%2B3x=larger number
As per condition, x%2B3%2B3x=175, EQN 1
4x=175-3=172 ----> cross%284%29x%2Fcross%284%29=cross%28172%2943%2Fcross%284%29
highlight%28x=43%29, Smaller number
3%2B3%2843%29=3%2B129=highlight%28132%29, Larger number
Check,
132%2B43=175
175=175
Thank you,
Jojo