Question

the sum of three consecutive odd numbers is 63. find the numbers

Answer 1

x+×+1+×+2/3=63 , 3×+3/3=63, 3× +3=63×3, 3×=189_3, ×=186/3 , ×=62 .

Answer 2

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