Question

Sum of three consecutive odd numbers in 39. Find out the numbers.

Answer 1

Let the three odd consecutive numbers are (2 x + 1), (2x + 3) and (2x + 5).

According to question,

(2x + 1) + (2x + 3) + (2x + 5) = 39
⇒ 2x + 1 + 2x + 3 + 2x + 5 = 39
⇒ 6x + 9 = 39
⇒ 6x = 39 – 9
⇒ x = 30/6
⇒ x = 5

First odd number = 2x +1
= 2 x 5 + 1 = 11

Second odd number= 2x +3
= 2 x 5 + 3 = 13

and third odd umber= 2x +5
= 2 x 5 + 5 = 15

So, three consecutive odd numbers are 11, 13 and 15.

Answer 2

3 consecutive odd no. can be written as x, x+2,x+4

x+x+2+x+4=39

3x = 33

x= 11

x+2 = 13

x+4 = 15