SOLUTION: Which of the following is the smaller of two positive integers whose product is 108 and whose sum is twice their difference? a.12 b.8 c.6 d.4 e.3

Question 902968: Which of the following is the smaller of two positive integers whose product is 108 and whose sum is twice their difference?
a.12
b.8
c.6
d.4
e.3
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Equation 1:
Equation 2:
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Solve equation 1 for one of the variables
Equation 1:
Divide both sides by B

Plug (108/B) into equation 2 for A
Equation 2:

Multiply everything by B

Multiply the 2B trough on the right hand side

The B's cross out

Add 2B^2 to both sides

Subtract 108 from both sides

Divide both sides by 3

Take the square root of both sides

-------------------
Plug 6 into equation 1 for B
Equation 1:

Divide both sides by 6

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Since our two integers are 6 & 18, then 6 is the smaller number.
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