Question

Can someone please help me with this?!

Answer 1

26) Let the first number be x.

Sum of three consecutive even numbers:

`x+(x+2)+(x+4)=-84`

`x+x+2+x+4=-84\\`

`3x+6=-84`

Subtract 6 from both sides:

`3x+6-6=-84-6`

`3x=-90`

Divide both sides by 3:

`(3x)/(3)=(-90)/(3)`

`x=-30`

To find the other two numbers, add 2 and 4 respectively:

`(-30+2=-28)(-30+4=-26)`

27) Let the first number be x.

Sum of three consecutive odd integers:

`x+(x+2)+(x+4)=141`

`3x+6=141`

Subtract 6 from both sides:

`3x+6-6=141-6\\3x=135`

Divide both sides by 3:

`(3x)/(3)=(135)/(3)\\x=45`

To find the other two numbers, add 2 and 4 respectively:

`(45+2=47)(45+4=49)`

28) Let the first number be x.

Sum of four consecutive integers:

`x+(x+1)+(x+2)+(x+3)=54`

`4x+6=54`

Subtract 6 from both sides:

`4x+6-6=54-6\\4x=48`

Divide both sides by 4:

`(4x)/(4)=(48)/(4)\\x=12`

To find the other three numbers, add 1, 2 and 3 respectively:

`(12+1=13)(12+2=14)(12+3=15)`

29) Let the first number be x.

Sum of four consecutive integers:

`x+(x+1)+(x+2)+(x+3)=-142`

`4x+6=-142\\`

Subtract 6 from both sides:

`4x+6-6=-142-6`

`4x=-148`

Divide both sides by 4:

`(4x)/(4)=(-148)/(4)\\x=-37`

To find the other three numbers, add 1, 2 and 3 respectively:

`(-37+1=-36)(-37+2=-35)(-37+3=-34)`