Find three consecutive integers whose sum is 60.

Answer: 19, 20, and 21

Step-by-step explanation: This problem states that the sum of 3 consecutive integers is 60 and it asks us to find the integers.

Three consecutive integers can be represented as followed.

X ⇒ first integer

X + 1 ⇒ second integer

X + 2 ⇒ third integer

Since the sum of our 3 consecutive integers is 60, we can set up an equation.

X + X + 1 + X + 2 = 60

3x + 3 = 60

-3 - 3

3x = 57

: 3 : 3

X = 19

X + 1 = 20

X + 2 = 21

Therefore, our three consecutive integers are 19, 20, and 21.

60 = x + x + 1 + x + 2

60 = 3x + 3

-3

57 = 3x

/3

19 = x

The 3 integers are: 19, 20, and 21.