the sum of five consecutive is number 1000 . find the numbers?
Answers
Answered by
1
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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Answered by
1
Answer:
x + 5 = 1000
Step-by-step explanation:
x = 1000 - 5
995 it should be your answer
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