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(39626) (Show Source):
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 .
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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:
(