SOLUTION: Two numbers add up to 37. If the smaller number is increased by half of the larger number, the result is 26. Find the two numbers.

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Question 890143: Two numbers add up to 37. If the smaller number is increased by half of the larger number, the result is 26. Find the two numbers.
Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
x = one number
y = other number

x + y = 37 {two numbers add up to 37}
x + 0.5y = 26 {smaller increased by half larger is 26}

0.5y = 11 {subtracted the two equations, eliminating x}
y = 22 {divided each side by 0.5}

x + y = 37 {two numbers add up to 37}
x + 22 = 37 {substituted 22 for y}
x = 15 {subtracted 22 from each side}

The two numbers are 15 and 22

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