SOLUTION: the sum of two numbers is 45. 4 times the first number is 9 less than 5 times the second. what are the two numbers?

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Question 464290: the sum of two numbers is 45. 4 times the first number is 9 less than 5 times the second. what are the two numbers?
Answer by algebrahouse.com(1659) About Me  (Show Source):
You can put this solution on YOUR website!
x = one number
45 - x = other number {their sum is 45}

4x = 5(45 - x) - 9 {four times first is 9 less than five times second}
4x = 225 - 5x - 9 {used distributive property}
4x = -5x + 216 {combined like terms}
9x = 216 {added 5x to both sides}
x = 24 {divided both sides by 9}
45 - x = 21 {substituted 24, in for x, into 45 - x}

24 and 21 are the two numbers

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