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

Sagot :

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;

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

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

[tex]x+2[/tex]

substitiute the value of x

[tex]x+2=73+2=75[/tex]

Third Number

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

[tex]x+4=73+4=77[/tex]

Let us proof if our answer is correct

[tex]73+75+77=225[/tex]

This is correct.

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