Question 129885: Three times an even interger is two less than 4 times the next lower even integer. Find the interger ? Found 2 solutions by checkley71, Dalmo:Answer by checkley71(8403) (Show Source):
You can put this solution on YOUR website! Word problems can be very confusing at times, so pay close attention. Obviously, the person who answered before me made a mistake. It's very important to read every word.
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Three times an even interger is two less than 4 times the next lower even integer. Find the interger ?
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Let's call the even integer x.
So we have three times that, or 3x
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That is equal to:
Two less than ..., or ...-2
Four times..., so far 4(...)-2
The next lower even integer, so finally 4(x-2)-2
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So this is the equation we get.
3x = 4(x-2)-2
3x = 4x -8 -2 (Distribute the 4)
3x = 4x -10 (Simplify)
-1x= -10 (Subtract 4x from both sides)
x = 10 (Divide by -1)
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Proof:
3(10)= 4(10-2) -2
30 = 4(8) -2
30 = 32 -2
30 = 30 (True)
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I hope that helps!
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