The sum of three consecutive odd integers is 51. What are the integers?
Divide 51 by 3: that'll give you the middle one. The other two will be two above it and two below it.
thank you both so much
The last digits in each integer must be 5, 7, and 9 because the sum ends with 1.
Can you figure it out from here?
You're very welcome.
And from me too!
To find the three consecutive odd integers, we can set up an equation. Let's assume that the first odd integer is x. Since the integers are consecutive, the second odd integer would be x + 2 (as it is two more than the first) and the third odd integer would be x + 4 (as it is four more than the first).
The sum of these three consecutive odd integers is given as 51. So, we can write the equation as:
x + (x + 2) + (x + 4) = 51
Simplifying this equation, we have:
3x + 6 = 51
Now, we can solve this equation to find the value of x:
3x = 51 - 6
3x = 45
x = 45/3
x = 15
Therefore, the first odd integer is 15, the second odd integer is 15 + 2 = 17, and the third odd integer is 15 + 4 = 19.
So, the three consecutive odd integers that sum up to 51 are 15, 17, and 19.