Question

Find four consecutive integers with the sum of -142.

Answer 1

Step-by-step explanation:

The four numbers are

27

,

28

,

29

,

and

30

Explanation:

Let the smallest number be

n

.

Then the four numbers are

n

,

n

+

1

,

n

+

2

,

and

n

+

3

and their sum is

XXX

n

+

(

n

+

1

)

+

(

n

+

2

)

+

(

n

+

3

)

=

4

n

+

6

We are told that this sum is equal to

114

So

XXX

4

n

+

6

=

114

XXX

→

4

n

=

108

XXX

→

n

=

27