SOLUTION: If 1/3 of an integer is added to 1/4 of the next consecutive integer the sum is 23. Find the integers.

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Question 468533: If 1/3 of an integer is added to 1/4 of the next consecutive integer the sum is 23. Find the integers.
Answer by asuar010(324) About Me  (Show Source):
You can put this solution on YOUR website!
simple.. denote the first integer to be x, then the next integer is (x+1)
Now just rewrite the problem using numbers... +%281%2F3%29%2Ax+%2B+%281%2F4%29%2A%28x%2B1%29=23+
to get rid of the fractions multiply the whole equation by 12 and it should look like: +4x%2B3x%2B3=276+ then solve for x. +7x=273+ so x=39
So the numbers are 39 and 40...
To check if you add 39/3+40/4=23