Linear Equation...

The sum of four consecutive odd positive integers is $$160$$. Find the largest among them.

If the number of boys in a class is thrice the number of girls and the total number of boys is 84, calculate the number of girls in the class.

The sum of five positive, consecutive integers is $$115$$. Find the value of the smallest integer among these.

A club has $$27$$ employees. If there are seven more women than men in the club, calculate the number of men in the club.

$$280$$ meals are to be prepared by three chefs. Every chef has its own speed but the combined output of all three is modelled by the equation $$8x+4x+2x=280$$. If $$x$$ is a positive integer, which of the following could $$8x$$ represent in the equation?

The value of $$d$$ which satisfies the expression $$\cfrac{4(d+3)-9}{8}=\cfrac{10-(2-d)}{6}$$ is:

Consider two consecutive positive integers. It is given that the result of adding the smaller integer and triple the larger integer is $$79$$. Find the $$2$$ integers.

The sum of three consecutive integers is equal to $$192$$. What is the product of these numbers?

When a number $$x$$ is subtracted from $$36$$ and then  the difference is divided by $$x$$, the result is $$2$$. Find the value of $$x$$.