SOLUTION: The sum of 2 numbers is 61. The numbers are 5 apart. What are they?

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Question 413708: The sum of 2 numbers is 61. The numbers are 5 apart. What are they?

Answer by algebrahouse.com(1659) About Me  (Show Source):
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"The sum of 2 numbers is 61. The numbers are 5 apart. What are they?"

x = one number
x - 5 = other number

x + x - 5 = 61 {sum of the two numbers is 61}
2x - 5 = 61 {combined like terms}
2x = 66 {added 5 to both sides}
x = 33 {divided both sides by 2}
x - 5 = 28 {substituted 33, in for x, into x - 5}

33 and 28 are the two numbers
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