The sum of 6 consecutive numbers is 105. Find the smallest number.
A 13
B 15
C 14
D 12
Answers
Answered by
6
Given:
- The sum of 6 consecutive numbers is 105.
To find:
- The smallest number ?
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Solution:
Let the six consecutive numbers x, x + 1, x +2, x + 3, x + 4, x + 5.
➜ x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 = 105
➜ 6x + 15 = 105
➜ 6x = 105 - 15
➜ 6x = 90
➜ x = 15
Therefore, option (b) is correct.
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Answered by
2
Given
- The sum of 6 consecutive numbers is 105.
To Find
- the smallest number.
Solution
We have given that the sum of consecutive numbers (e.g. 2,3,4,5) is 105 we need to find the smallest number (in example 2)
We need to let the smallest number be x
Therefore,
- Number1=x
- Number2=x+1
- Number3=x+2
- Number4=x+3
- Number5=x+4
- Number6=x+5
- Sum of numbers=105
Adding all numbers we get
Now write the equation which is given
ATQ
Hence the smallest number is x i.e. 15
And all numbers are
- Number1=15
- Number2=16
- Number3=17
- Number4=18
- Number5=19
- Number6=20
Hence the answer is (b).
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