SOLUTION: Find two consecutive integers whose sum is 176

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Find two consecutive integers whose sum is 176      Log On


   



Question 1005296: Find two consecutive integers whose sum is 176
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Any pair of consecutive integers will be made of an odd integer and an even integer, so the sum of two consecutive integers will always be an odd number, and cannot be 176.
The sum of two consecutive even integers cannot be 176, either,
because 176%2F2=88 is even.
If the sum of two consecutive odd integers is 176 ,
the average of those two integers is 176%2F2=88 ,
and the two integers are
88-1=highlight%2887%29 and 88%2B1=highlight%2889%29 ,
both odd and consecutive odd integers.

ANOTHER WAY:
x= the smallest integer (odd or even)
x%2B2= the other consecutive integer of the same kind (odd or even)
If the sum of those two integers is 176,
x%2B%28x%2B2%29=176
2x%2B2=176
2x=176-2
2x=174
x=174%2F2
x=highlight%2887%29
x%2B2=87%2B2
x%2B2=highlight%2889%29