Question

the sum of three consecutive odd number is 57.find the number

Answer 1

let the first consecutive number be x

the second consecutive number be x+1

and the third consecutive number be x+2

then, sum of these number is equal to 57

so,
(x)+(x+1)+(x+2)=57

x+x+1+x+2=57

3x+3=57

3x=57-3

3x=54

x=54/3

x=18

the first consecutive number is 18

the second consecutive number is x+1=18+1=19

the third consecutive number be x+2=18+2=20.


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Answer 2

Let the first consecutive odd number be x,

Then the second and third consecutive odd numbers = x+2 and x +4

According to question,

Sum of three consecutiveodd numbers = 57

NOW,

x + (x + 2) +(x + 4) = 57
3x + 6 = 57
3x = 51
x = 17

Therefore,the numbers are x = 17.
x +2 = 17 + 2 = 19 and x + 4 = 17+4 = 21.

Hence,the numbers are 17,19, and 21.