Their sum is 44 and their quotient is 3.

Answer 1

Hello Giovon,

So, let's allow one number to be represented by x and another by y, okay? Therefore:

x + y = 44 <--------Their sum is 44

x/y = 3 <--------Their quotient is 3

Let's use the second equation and multiply both sides by y, okay>

(y)x/y = 3y <----Multiplied both sides of the equation by y.

x = 3y

Next, let's substitute 3y for x in the first equation, fair enough?

x + y = 44

3y + y = 44

4y = 44

y = 11 <---------This is the value of y.

Next, substitute 11 for y in the second equation.

x/y = 3

x/11 = 3 <------Multiply both sides by 11 leaving x to itself.

x = 33

Finally, let's check our answers to determine whether they meet the requirements set forth in the problem, okay?

Is the sum of x and y equal 44? Yes.

Is the quotient of x x and y 3? Yes.

The answer checks and is valid. I hope I helped and that you have a great rest of the week. Best!