SOLUTION: The first of two numbers is one more than twice the second. The sum of twice the first number and three times the second number is 51. Find the numbers.

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Question 275471: The first of two numbers is one more than twice the second. The sum of twice the first number and three times the second number is 51. Find the numbers.
Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
The first of two numbers is one more than twice the second. The sum of twice the first number and three times the second number is 51. Find the numbers.
Let the second number be x
twice the second = 2x
1 more means 2x+1 This is the second number
twice the first number =2x
three times the second will be 3*(2x+1)
2x+3*(2x+1) = 51
2x+6x+3=51
8x=51-3
8x=48
x=6 first number
2* x= 2*6 = 12 the second number

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