The sum of 3 consecutive odd numbers is 69
What is the third number in this sequence?
Answers
Let x = the first number
Let x + 2 = the second number
Let x + 4 = the third number.
add them up
3x+6 = 69
can you finish it?
Answers
(x - 2) + x + (x + 2) = 69
3x = 69 -> x = 23
The numbers are 21, 23, 25.
The third number in this sequence is equal to 25.
Given:
The sum of 3 consecutive odd numbers is equal to 69.
To Find:
The third number in the sequence.
Solution:
→ Let the first number of this sequence be 'x'.
→ Therefore the three consecutive odd numbers would be 'x', (x+2), (x+4).
→ Since the sum of these three consecutive numbers is 69.
∴ x + (x + 2) + (x + 4) = 69
∴ x + x + 2 + x + 4 = 69
∴ 3x + 6 = 69
∴ 3x = 63
∴ x = 21
→ The first number of this sequence comes out to be equal to 21. The next two numbers of this sequence are (x+2) and (x+4) that are equal to 23 and 25.
→ The third number of the sequence comes out to be equal to 25.
Hence, it can be said that the third number of the given sequence is equal to 25.
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