Question

The sum of three consecutive odd integers is 153. Find the three odd integers.

Answer 1

Answer:

49, 51, 53

Step-by-step explanation:

Let the first odd integer be n.

Then the consecutive odd integer will be (n+2).

This will be followed by (n+4).

We know that the sum of these three is 153. In other words:

$n+(n+2)+(n+4)=153$

Solve for n. Combine like terms:

$3n+6=153$

Subtract 6 from both sides:

$3n=147$

Divide both sides by 3:

$n=49$

Therefore, our first odd number is 49.

So, our consecutive numbers must be 51 and 53.

Hence, our sequence is:

49, 51, 53

Notes:

If we get an even number for n or a non-integer value, then there are no three consecutive odd integers that sum to 153.

Answer 2

Answer:

49, 51, 53

Step-by-step explanation:

All odd numbers:

49 + 51 = 100

100 + 53 = 153