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