SOLUTION: the sum of two numbers is 181. three times the larger number plus twice the smaller number is 459. find the number

Question 204315: the sum of two numbers is 181. three times the larger number plus twice the smaller number is 459. find the number
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let a be the smaller number and b be the larger number.
1) "The sum of two numbers is 181."
2) "Three times the larger number (3b) plus twice the smaller number (2a) is 459.
Rewrite equation 1) as and substitute into equation 2).
2a) Expand the left side.
2a) Combine like-terms.
2a) Subtract 362 from both sides.
2a) and

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