SOLUTION: The sum of two numbers is 57. If the larger of the two numbers is 9 less than twice the smaller, find the two numbers.

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Question 765819: The sum of two numbers is 57. If the larger of the two numbers is 9 less than twice the smaller, find the two numbers.
Answer by suruman(21) About Me  (Show Source):
You can put this solution on YOUR website!
Let the numbers be x,y where x is the larger number.
x + y =57
x = 2*y - 9
Thus,
{2*y - 9} + y = 57
3*y = 57 + 9 = 66
y = 66/3 = 22
x + 22 = 57
x = 57 - 22 = 35
Thus the numbers are 35 and 22.