SOLUTION: the sum of two numbers is 25. The greater number is 10 less than the product of 6 and the smaller number. Find the smaller number

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Question 426172: the sum of two numbers is 25. The greater number is 10 less than the product of 6 and the smaller number. Find the smaller number
Answer by algebrahouse.com(1659) About Me  (Show Source):
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"the sum of two numbers is 25. The greater number is 10 less than the product of 6 and the smaller number. Find the smaller number"

x = one number
6x - 10 {greater number is 10 less than product of 6 and smaller}

x + 6x - 10 = 25 {sum of two numbers is 25}
7x - 10 = 25 {combined like terms}
7x = 35 {added 10 to both sides}
x = 5 {divided both sides by 7}

the smaller number is 5
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