1.

The sum of five consecutive is number 1000 . find the numbers?​

Answer»

ANSWER:

The NUMBERS are: 198, 199, 200, 201 and 202

EXPLANATION:

If we let the smallest of the five consecutive integers be

X

,

then the other 4 consecutive integers, by definition of "consecutive" would be:

x

+

1

,

x

+

2

,

x

+

3

and

x

+

4

These five integers equal 1,000 so we can write:

x

+

x

+

1

+

x

+

2

+

x

+

3

+

x

+

4

=

1000

We can now solve for

x

:

5

x

+

10

=

1000

5

x

+

10

10

=

1000

10

5

x

+

0

=

990

5

x

=

990

5

x

5

=

990

5

5

x

5

=

198

x

=

198

Then:

x

+

1

=

199

x

+

2

=

200

x

+

3

=

201

x

+

4

=

202

Step-by-step explanation:

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