If the sum of three consecutive numbers is 27, the find the second number.
Pls help.
Answers
Answered by
11
Answer:
Let the smallest odd integer of the three be x
→ Hence the next 2 consecutive odd integers are x+2andx+4
→ x+(x+2)+(x+4)=27
→ 3x + 6 = 27
→ 3x = 27-6
→ 3x = 21
→ x = 21/3
→ x = 7
→ x + 2 => 7+2 → 9
→ x + 4 => 7+4 → 11
hope it helps you
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Answered by
26
Given :
- Sum of three consecutive number = 27
To find :
- The second number
According to the question,
Let,
- The first number = x
- The second number = x + 1
- The third number = x + 2
Now,
➟ x + x + 1 + x + 2 = 27
➟ 3x + 3 = 27
➟ 3x = 27 - 3
➟ 3x = 24
➟ x = 24 ÷ 3
➟ x = 8
So,
- The first number = 8
- The second number = x + 1 = 8 + 1 9
- The third number = x + 2 = 8 + 2 = 10
Therefore,the second number is 9.
___________________
Verification :
➟ Sum of three consecutive numbers = 27
➟ 8 + 9 + 10 = 27
➟ 17 + 10 = 27
➟ 27 = 27
Hence, verified.
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