Question

The sum of three consecutive odd integers is 225. Find the largest value.

Answer 1

The consecutive odd numbers are 73, 75 and 77

To solve this problem, we would have to write an equation fo rthis.

Let the numbers be represented by x, (x + 2) and (x + 4)

First Number

Putting this into an equation;

`\begin{gathered} x+(x+2)+(x+4)=225 \\ 3x+6=225 \\ 3x=225-6 \\ 3x=219 \\ (3x)/(3)=(219)/(3) \\ x=73 \end{gathered}`

Since we have the value of x which is out first number, let us solve for others

Second Number

Sine the expression used to represent the second number is

`x+2`

substitiute the value of x

`x+2=73+2=75`

Third Number

To solve for the third number, simply substitute the value of x in the expression and solve.

`x+4=73+4=77`

Let us proof if our answer is correct

`73+75+77=225`

This is correct.

From the calculations above, the numbers are 73, 75 and 77.