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What two numbers have a sum of 217 and a difference of 85?

1/21/2021

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What two numbers have a sum of 217 and difference of 85?

x = one number
y = other number

x + y = 217  {sum is 217}
x - y = 85 {difference is 85}
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2x = 302 {added the two equations}
x = 151 {divided each side by 2}

x + y = 217  {first equation, above}
151 + y = 217 {substituted 151 into first equation}
y = 66 {subtracted 151 from each side}

151 and 66 are the two numbers

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Algebra House
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