Question

The sum of two numbers is 24 . one number is 3 times the other number . find the two numbers

Answer 1

We are given that the sum of two numbers is 24. If "x" and "y" are the two numbers then we have that:

`x+y=24`

We are also given that one number is three times the other, this is expressed as:

`x=3y`

Now, we substitute the value of "x" from the second equation in the first equation:

`3y+y=24`

Now, we add like terms:

`4y=24`

Now, we divide both sides by 4:

`y=(24)/(4)=6`

Therefore, the first number is 6. Now, we substitute the value of "y" in the second equation:

`\begin{gathered} x=3(6) \\ x=18 \end{gathered}`

Therefore, the other number is 18.