The sum of 7
consecutive natural
numbers is 70. What are
the numbers? The sum of
8 consecutive natural
number is 92. What are
the numbers? Can the
sum of9 consecutive
numbers be 58?
Answers
Given:-
- The sum of 7 consecutive natural number is 70. ?
- The sum of 8 Consecutive natural number is 92.
- Can the The Sum of 9 Consecutive number is 58.
To Find:-
- The value of numbers.
Now,
Let the number be "x".
→ Second number = x + 1
→ Third number = x + 2
→ Fourth Number = x + 3
→ Fifth Number = x + 4
→ Sixth Number = x + 5
→ Seventh Number = x + 6
Therefore,
→ x + (x + 1) + ( x + 2) + ( x + 3) + ( x + 4) + ( x + 5) + ( x + 6) = 70
→ 7x + 21 = 70
→ 7x = 49
→ x = 49/7
→ x = 7.
Putting the value of "x".
Let the numbers be "x".
→ First Number = x = 7
→ Second number = x + 1 = 8
→ Third number = x + 2 = 9
→ Fourth Number = x + 3 = 10
→ Fifth Number = x + 4 = 11
→ Sixth Number = x + 5 = 12
→ Seventh Number = x + 6 = 13
So, The Numbers are 7, 8, 9, 10, 11 , 12 , and 13
Q. 2 )
Let the number be "x".
→ Second number = x + 1
→ Third number = x + 2
→ Fourth Number = x + 3
→ Fifth Number = x + 4
→ Sixth Number = x + 5
→ Seventh Number = x + 6
→ Eight Number = x + 7
Therefore,
→ x + (x + 1) + ( x + 2) + ( x + 3) + ( x + 4) + ( x + 5) + ( x + 6) + ( x + 7 ) = 92
→ 8x + 28 = 92
→ 8x = 92 - 28
→ 8x = 64
→ x = 8
Putting the value of "x".
Let the numbers be "x".
→ First Number = x = 8
→ Second number = x + 1 = 9
→ Third number = x + 2 = 10
→ Fourth Number = x + 3 = 11
→ Fifth Number = x + 4 = 12
→ Sixth Number = x + 5 = 13
→ Seventh Number = x + 6 = 14
Q. 3)
Let the number be "x".
→ Second number = x + 1
→ Third number = x + 2
→ Fourth Number = x + 3
→ Fifth Number = x + 4
→ Sixth Number = x + 5
→ Seventh Number = x + 6
→ Eight Number = x + 7
→ Ninth Number = x + 8
Therefore,
→ x + (x + 1) + ( x + 2) + ( x + 3) + ( x + 4) + ( x + 5) + ( x + 6) + ( x + 7 ) + ( x + 8 ) = 58
→ 9x + 36 = 92
→ 8x = 92 - 36
→ 9x = 56
→ x ≠ 56/9
So, The Sum of 9 Consecutive number is not 56.