8 and 24
Explanation:let the two numbers be x and y
Sum of the two numbers = 32
[tex]x\text{ + y = }32\text{ . . . equation 1}[/tex]Quotient = 3
[tex]\begin{gathered} \frac{x}{y}\text{ = 3 . . . equation 2} \\ x\text{ = 3y . . . equation 2} \end{gathered}[/tex]substitute for x in equation 1:
[tex]\begin{gathered} 3y\text{ + y = 32} \\ 4y\text{ = 32} \\ y\text{ = }\frac{32}{4} \\ y\text{ = 8} \end{gathered}[/tex][tex]\begin{gathered} x\text{ = 3(8)} \\ x\text{ = 24} \end{gathered}[/tex]Hence, the two numbers are 8 and 24
