SOLUTION: the sum of two numbers is 18. the total of 3 times the smaller and twice the larger is 44. find the 2 numbers

Question 72112This question is from textbook
: the sum of two numbers is 18. the total of 3 times the smaller and twice the larger is 44. find the 2 numbers This question is from textbook

Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
Let the two numbers be a and b where a is the smaller of the two. From the problem description, you can write the equations:
1) The sum of the two numbers is 18.
2) The total (sum) of three times the smaller and twice the larger is 44
Rewrite equation 1) as:
1a) substitute into equation 2) and solve for b.
2a) Simplify.

Subtract 54 from both sides.
Multiply both sides by -1

The two numbers are: 8 and 10
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