If the first of two consectutive integers is divided by 4 and the second consecutive integer is divided by 2, the sum of quotients would be 5. What are the integers?
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The two numbers are consecutive, so we could call them $\displaystyle \displaystyle \begin{align*} x \end{align*}$ and $\displaystyle \displaystyle \begin{align*} x + 1 \end{align*}$.
The first is being divided by 4, so we get $\displaystyle \displaystyle \begin{align*} \frac{x}{4} \end{align*}$, and the second is being divided by 2, so we get $\displaystyle \displaystyle \begin{align*} \frac{x + 1}{2} \end{align*}$.
We are told the sum of these quotients is 5, so $\displaystyle \displaystyle \begin{align*} \frac{x}{4} + \frac{x + 1}{2} = 5 \end{align*}$.
Can you solve this equation for $\displaystyle \displaystyle \begin{align*} x \end{align*}$? Can you use this to determine what the two integers are?
No, it says the first OF two consecutive integers is divided by 4, i.e. $\displaystyle \displaystyle \begin{align*} \frac{x}{4} \end{align*}$, and the second OF two consecutive integers is divided by 2, i.e. $\displaystyle \displaystyle \begin{align*} \frac{x + 1}{2} \end{align*}$.
The wording makes perfect sense and my answer to your question was very clear. If you are unable to follow then you will need one-on-one tuition, which is more than can be provided on this site. (I am a private tutor though, if you live in Melbourne Australia I can help you.)