Question

Sum of 3 consecutive odd number is 63

Answer 1

Let 3 consecutive odd numbers be 2x+1,2x+3 and 2x+5.
Then according to the given conditions,
(2x+1)+(2x+3)+(2x+5)=63
6x+9=63
6x=54

x=54/6
x=9
2x+1=19
2x+3=21
2x+5=23
Thus the three consecutive odd numbers are 19,21 & 23.

Answer 2

Answer:

19, 21 and 23

Step-by-step explanation:

We know that consecutive odd number differ by 2 so,

Let the three consecutive odd numbers be x, ( x + 2 ) and ( x + 4 ) respectively.

We can derive the following equation by reading the question carefully,

x + ( x + 2 ) + ( x + 4 ) = 63

x + x + 2 + x + 4 = 63

3x + 6 = 63

3x = 63 - 6

3x = 57

x = 57 / 3

x = 19

Therefore we can calculate the consecutive odd numbers now:

First Consecutive Odd Number = 19

Second Consecutive Odd Number = 19 + 2 = 21

Third Consecutive Odd Number = 19 + 4 = 23