the sum of 7 consecutive number is 70 what are the numbers
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Atulkrishnan:
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Solution :-
Let the first number be x.
As the numbers are consecutive, then 2nd, 3rd, 4th, 5th, 6th and 7th numbers will be (x + 1), (x + 2), (x + 3), (x + 4), (x + 5) and (x + 6) respectively.
So, according to the question.
(x) + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6) = 70
⇒ 7x + 21 = 70
⇒ 7x = 70 - 21
⇒ 7x = 49
⇒ x = 49/7
⇒ x = 7
The first number is 7.
2nd number = 7 + 1 = 8
3rd number = 7 + 2 = 9
4th number = 7 + 3 = 10
5th number = 7 + 4 = 11
6th number = 7 + 5 = 12
7th number = 7 + 6 = 13
Hence, the 7 consecutive numbers are 7, 8, 9, 10, 11, 12 and 13 respectively.
Answer.
Let the first number be x.
As the numbers are consecutive, then 2nd, 3rd, 4th, 5th, 6th and 7th numbers will be (x + 1), (x + 2), (x + 3), (x + 4), (x + 5) and (x + 6) respectively.
So, according to the question.
(x) + (x + 1) + (x + 2) + (x + 3) + (x + 4) + (x + 5) + (x + 6) = 70
⇒ 7x + 21 = 70
⇒ 7x = 70 - 21
⇒ 7x = 49
⇒ x = 49/7
⇒ x = 7
The first number is 7.
2nd number = 7 + 1 = 8
3rd number = 7 + 2 = 9
4th number = 7 + 3 = 10
5th number = 7 + 4 = 11
6th number = 7 + 5 = 12
7th number = 7 + 6 = 13
Hence, the 7 consecutive numbers are 7, 8, 9, 10, 11, 12 and 13 respectively.
Answer.
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