Question 890143
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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