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Question 401327: The different between two numbers is 15. When twice the smaller number is subtracted from three times the larger number, the difference is 58. What is the larger number?
Answer by algebrahouse.com(1659)   (Show Source):
You can put this solution on YOUR website! "The different between two numbers is 15. When twice the smaller number is subtracted from three times the larger number, the difference is 58. What is the larger number?"
x = larger number
x - 15 = smaller number
3x - 2(x - 15) = 58 {twice the smaller is subtracted from three times the larger}
3x - 2x + 30 = 58 {used distributive property with -2}
x + 30 = 58 {combined like terms}
x = 28 "larger number" {subtracted 30 from both sides}
x - 15 = 13 "smaller number" {substituted 28, for x, into x - 15}
larger number is 28
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