SOLUTION: The sum of two numbers is thirty-four. Using x to represent the larger of the two numbers, translate "the difference between seven more than twice the larger number and the sum of

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Question 986278: The sum of two numbers is thirty-four. Using x to represent the larger of the two numbers, translate "the difference between seven more than twice the larger number and the sum of the smaller number and three" into a variable expression. Then simplify.
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
s, smaller number
x, larger number
s+x=34

The longer description:

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Simplification steps:


and if you want this in terms of x, then s=34-x;




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Further, you know that for , that , making the expression x-10 POSITIVE, therefore not need the absolute value now:
or .
Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

The sum of two numbers is thirty-four. Using x to represent the larger of the two numbers, translate "the difference between seven more than twice the larger number and the sum of the smaller number and three" into a variable expression. Then simplify. 
With x being the larger number, the smaller number is: 34 - x

"seven more than twice the larger number" translates to: 2x + 7

"the sum of the smaller number and three" translates to: 34 - x + 3, or 37 - x

"the difference between seven more than twice the larger number and the sum of the smaller number and three" translates to:

2x + 7 - (37 - x)

2x + 7 - 37 + x

Simplified form:  

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