Question

A set contains three consecutive numbers. The sum of these three numbers is 54. Wat are the three numbers16, 17, 1815, 16, 1717, 18, 19

Answer 1

Let be "x" the first number of the set that contains three consecutives numbers whose sum is 54. The others two numbers can be represented as:

`\begin{gathered} x+1 \\ x+2 \end{gathered}`

According to the exercise, when you add these three consecutives numbers, you get 54 as the result of the addition. Based on this, you can write the following equation:

`x+(x+1)+(x+2)=54`

Now you have to solve for "x":

`\begin{gathered} x+x+1+x+2=54 \\ 3x+3=54 \\ 3x=54-3 \\ 3x=51 \\ x=(51)/(3) \\ x=17 \end{gathered}`

Substituting this value, you get that the others numbers are:

`\begin{gathered} x+1=17+1=18 \\ x+2=17+2=19 \end{gathered}`

So the three numbers are:

`17,18,19`

The answer is the last option.