Question

1. write an equation to represent the ages of 3 sisters, which are consecutive odd integers with the sum of 99.

Explanation:

Step1: Define the first odd integer

Let the first consecutive odd integer be $x$.

Step2: Define the next two odd integers

Consecutive odd integers differ by 2, so the second is $x+2$, the third is $x+4$.

Step3: Set sum equal to 99

Sum of the three integers is 99, so form the equation.
$x + (x+2) + (x+4) = 99$

Step4: Simplify the left side

Combine like terms to simplify the equation.
$3x + 6 = 99$

Answer:

$3x + 6 = 99$ (or the unsimplified form $x + (x+2) + (x+4) = 99$)