Question

express the following cubes as the sum of consecutive odd number a) 17³​

Answer 1

Step-by-step explanation:

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Answer

Let the three numbers be (x−1),x and (x+1).

Given, the sum of three consecutive odd numbers is 15

3

.

⇒15

3

=3375.

∴(x−1)+x+(x+1)=3375

⇒ 3x=3375

⇒ x=1125.

Therefore,

1

st

number =x−1=1125−1=1124.

2

nd

number =x=1125.

3

rd

number =x+1=1125+1=1126.

Hence, the three consecutive numbers are 1124,1125,1126.

Then, 1124+1125+1126=15

3

.