SOLUTION: One whole number is three times a second if 20 is added to the smaller number, the result equals 6 more than the larger number. Find both numbers.

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Question 431227: One whole number is three times a second if 20 is added to the smaller number, the result equals 6 more than the larger number. Find both numbers.
Answer by algebrahouse.com(1659) About Me  (Show Source):
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"One whole number is three times a second if 20 is added to the smaller number, the result equals 6 more than the larger number. Find both numbers."

x = one number
3x = other number {one number is three times a second}

x + 20 = 3x + 6 {twenty added to smaller is six more than larger}
x + 14 = 3x {subtracted 6 from both sides}
2x = 14 {subtracted x from both sides}
x = 7 {divided both sides by 2}
3x = 21 {substituted 7, in for x, into 3x}

7 and 21 are the two numbers
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