Their sum is 52 and their quotient is 3.

Answer 1

a+b=52

a/b=3 -------> a=3b

3b+b = 52 -------> 4b=52 --------> b=13

a = 52 - b

a = 52 - 13 = 39

Answer 2

Hello Alyssa,

Let's use the following two equations to represent the problem.

x + y = 52

x/y = 3

Let's solve the second equation, okay?

x/y = 3

x = 3y <---------Multiplied both sides by y.

Now, substitute 3y for x in the first equation.

x + y = 52

3y + y = 52

4y = 52

y = 13 <---------This is the value for y.

x + y = 52

x + 13 = 52

x = 39 <--------This is the value for x.

Now, let's check our work. When we divide 39 by 3 do we get a quotient of 3? Yes. When we add the two values do they equal 52? Yes. The values check out and the solution is valid.

I hope this helped you and wish you a great week. If you have any feedback, further questions regarding this solution, or need clarity, please just click the "Add Comment" prompt and I will assist. Best!