SOLUTION: The sum of two numbers is 32 and the difference is 14. Find the two numbers...... Thank You very much :)

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Question 424830: The sum of two numbers is 32 and the difference is 14. Find the two numbers...... Thank You very much :)
Answer by algebrahouse.com(1659) About Me  (Show Source):
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"The sum of two numbers is 32 and the difference is 14. Find the two numbers...... Thank You very much"

x = one number
y = other number

x + y = 32 {sum of two numbers is 32
x - y = 14 {difference is 14}
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2x = 46 {added the two equations together}
x = 23 {divided both sides by 2}

x + y = 32 {top equation}
23 + y = 32 {substituted 23, in for x, into top equation}
y = 9 {subtracted 23 from both sides}

23 and 9 are the two numbers
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