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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.
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