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Question 507349: The difference of two numbers is 36. The larger is 6 less than 4 times the smaller. What are the two numbers?
Answer by algebrahouse.com(1659)   (Show Source):
You can put this solution on YOUR website! "The difference of two numbers is 36. The larger is 6 less than 4 times the smaller. What are the two numbers?"
x = smaller
4x - 6 = larger {larger is six less than four times smaller}
4x - 6 - x = 36 {difference of two numbers is 36
3x - 6 = 36 {combined like terms}
3x = 42 {added 6 to both sides}
x = 14 {divided both sides by 3}
4x - 6 = 50 {substituted 14, in for x, into 4x - 6}
smaller number is 14
larger number is 50
For more help from me, visit: www.algebrahouse.com
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