1.
consecutive odd intergers are 2 apart from each other
x and x+2
they add up to 108
x+x+2=108
subtract 2
2x=106
divide by 2
x=53
add 2 since larger is x+2
53+2=55
larger=55
larger number is 55
2.
3 consecutive odd integers are 2 apart from each other
so we have
x,x+2,x+4
smallest number would be x so
they add up to -75
x+x+2+x+4=-75
ad like termss
3x+6=-75
subtract 6
3x=-81
divide by 3
x=-27
smallest number is -27 (smaller is to the left of other numbers)
3.
2 consecutive even is 2 away from each other
x and x+2
the add up to 26
x+x+2=26
subtract 2
2x=24
divide by 2
x=12
lareger number is x+2
12+2=14
answer is 14
4.
2 consecutive even is 2 away from each other
x and x+2
the add up to 54
x+x+2=54
subtract 2
x+x=52
divide by 2
x=26
smaller number is 26
5.
3 consecutive even is 2 away from each other
x and x+2 and x+4
the add up to -222
x+x+2+x+4=-222
add like terms
3x+6=-222
subtract 6
3x=-228
divide by 3
x=-76
find the others
x+2 and x+4
-76+2=-74
-76+4=-72
-72 is closses to zero
-72 is answer
ANSWERS:
1. 55
2. -27
3. 14
4. 26
5. -72