SOLUTION: Find two consecutive odd integers such that 5 times the first integer is 12 more then 3 times the second

Question 112004: Find two consecutive odd integers such that 5 times the first integer is 12 more then 3 times the second
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let u=first #, w=second #

Remember, consecutive odd integers follow the form , , etc.

So the statement "5 times the first integer is 12 more then 3 times the second" translates to

Let and

Distribute

Combine like terms on the right side

Subtract 5 from both sides

Subtract 6x from both sides

Combine like terms on the left side

Combine like terms on the right side

Divide both sides by 4 to isolate x

Divide

--------------------------------------------------------------
Answer:
So our answer is

Now plug in into to get

So our first number is 9

Now plug in into to get

So our second number is 11

Check:
Start with the given equation

Plug in the given numbers

Multiply

Add. So these numbers work.
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