Question

The sum of two numbers is 32 and the quotient in 3.find the two numbers.

Answer 1

8 and 24

Step-by-step explanation:

let the two numbers be x and y

Sum of the two numbers = 32

`x\text{ + y = }32\text{ . . . equation 1}`

Quotient = 3

`\begin{gathered} (x)/(y)\text{ = 3 . . . equation 2} \\ x\text{ = 3y . . . equation 2} \end{gathered}`

substitute for x in equation 1:

`\begin{gathered} 3y\text{ + y = 32} \\ 4y\text{ = 32} \\ y\text{ = }(32)/(4) \\ y\text{ = 8} \end{gathered}`
`\begin{gathered} x\text{ = 3(8)} \\ x\text{ = 24} \end{gathered}`

Hence, the two numbers are 8 and 24