Question

1.The sum of three consecutive
integers is 17. Find the integers.​

Answer 1

22,23,24

→ Well, you need to first find two consecutive integers that add up to 47, because that is the difference between the first digit and the total.

→  This happens to be 23 and 24. Once you get these two numbers, the 22 comes intuitively, as you have to add 23 and 24 to get a difference between 22 and (22+23+24).

Answer 2

Let those three consecutive integers be x, x+1, x+2.

As according to the Question, the sum of those integers is 17.

Therefore,

→ x + (x + 1) + (x + 2) = 17

→ x + x + 1 + x + 2 = 17

→ 3x + 3 = 17

→ 3x = 17 - 3

→ 3x = 14

→ x = 14/3

But since, we know that 14/3 is not an integer, therefore there is no true answer to this question since it's impossible for three consecutive integers which have a sum of 17.