Answer:
61
Step-by-step explanation:
3x + 6 = 183
3x = 177
x = 59
(x+2) = (59+2) = 61
It is correct on khan academy
Answer:
The third number in this sequence is 63.
Step-by-step explanation:
Let the first odd number be x.
Since our sequence are consecutive odd numbers, the second term must be (x + 2) and the third (x + 4). If we only add one, we will get even numbers.
Their sum is 183. Hence:
[tex]x+(x+2)+(x+4)=183[/tex]
Solve for x. Combine like terms:
[tex]3x+6=183[/tex]
Subtract six from both sides:
[tex]3x=177[/tex]
And divide both sides by three. Hence:
[tex]x=59[/tex]
Therefore, our sequence is 59, 61, and 63.
The third number in this sequence is 63.
Note: If we do not get an odd number or if we get a fraction for x, we can conclude that no three consecutive integers sum to 183.
