Question

the product of 3 consecutive odd numbers is 9177.what is their sum

Answer 1

The product of 3 consecutive odd numbers is 9177

We start by using estimation to find the possible middle number. The middle number will roughly be the cube root of the total product.

Find the ∛9177:

∛9177 ≈ 20.93

⇒ The closest odd number = 21

⇒ The middle number is 21

Find the first and third number:

The middle number = 21

The odd consecutive number before 21 - 2 = 19

The odd consecutive number after 21 + 2 = 23

⇒ The numbers are 19, 21 and 23

Verification:

19 x 21 x 23 = 9177 (Verified)

Find the sum:

Sum = 19 + 21 + 23 = 63

Answer: Their sum is 63