Posted by lostinmathclass on Monday, April 20, 2009 at 11:43pm.
Correct me if I'm wrong, but there are no two consecutive integers that add up to 48. However, if you were finding two consecutive NUMBERS that add up to 48, your equation would look like this:
x + (x+1) = 48
x being the first number, (x+1) being the consecutive number.
Hope this helps!
Thanks, you helped a lot! My teacher isn't the brightest crayon in the box and that's what she typed on the worksheet.
consecutive: one after the other
so let the first integer be x
then the next consecutive integer has to be x+1
now translate
" The sum of 2 consecutive integers is 48"
x + x+1 = 48
2x = 47
x = 47/2 which is not an integer.
so your problem has no solution
(one can see that right from the start.
For any two consecutive integers, one would have to be even and the other one odd. And of course, the sum of an even plus an odd is always odd)
No problem :) glad I could help!
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