Question

The sum of three consecutive odd number is 1671. Find the greatest number.​

Answer 1

Answer:

559.

Step-by-step explanation:

Let the second no. be x.

Then, the numbers are-

x-2, x, x+2 (Difference between two odd numbers is 2)

The sum is x-2+x+x+2 = 3x

Thus,

3x=1671

x=557

If the second number is 557,

The next odd number is 559.

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Answer 2

Solution :-

Let :-

• First number = x
• Second number = x + 2
• Third number = x + 4

According to Question :-

⇒ x + x + 2 + x + 4 = 1671

⇒ 3x + 6 = 1671

⇒ 3x = 1671 - 6

⇒ 3x = 1665

⇒ x = 1665/3

⇒ x = 555

Therefore :-

First number = 555

Second number = 557

Third number = 559

559 is the greatest number