SOLUTION: the sum of two numbers is 23. twice the greater number added to three times the smaller number is 57. find the numbers. thank you for your help.

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Question 15892: the sum of two numbers is 23. twice the greater number added to three times the smaller number is 57. find the numbers.
thank you for your help.
Answer by pwac(253) About Me  (Show Source):
You can put this solution on YOUR website!
Let the two numers be x and y.
x+y=23-----(1)
3x+2y=57----(2)
Multiply(1)by 2
2x+2y=46 Subtract this from(2)gives:
x=11 substitute this into(1)
11+y=23 subtract 11 from both sides
y=12
numbers are 11 and 12
Pete