The sum of three consecutive odd integers is 57.What are three integers ?

The correct answer is: The 3 consecutive odd integers whose sum is 57 are- 17, 19 & 21

Step-by-step solution:-
Let the 3 consecutive integers be 'x', 'x+2' and 'x+4'.
As per the given condition, the sum of these 3 integers is 57.
∴ Adding the 3 integers, we get-
x + (x+2) + (x+4) = 57
∴ x + x + x = 57 - 2 - 4 ............................................. (Taking all variables and constants on either sides of the equation)
∴ 3x = 51
∴ x = .................................................. (Dividing both sides by 3)
∴ x = 17
∴ First Consecutive odd integer = x = 17 ......................................................... (Equation i)
Substituting the value of x in the other 2 integers, we get-
∴ Second consecutive odd integer = x + 2
∴ Second consecutive odd integer = 17 + 2 ....................................................................... (From Equation i)
∴ Second consecutive odd integer = 19
∴ Third consecutive odd integer = x + 4
∴ Third consecutive odd integer = 17 + 4 ....................................................................... (From Equation i)
∴ Third consecutive odd integer = 21
Final Answer:-
∴ The 3 consecutive odd integers whose sum is 57 are- 17, 19 & 21.