Question

the sum of two numbers is 36 one number is 3 times as large as the other what are the numbers larger number: smaller number:

Answer 1

Let's use the variables x and y to represent the numbers.

If the sum is equal to 36, we have:

$x+y=36$

If one number is 3 times as large as the other, we have:

$x=3y$

Using this value of x in the first equation, we have:

$\begin{gathered} (3y)+y=36 \\ 4y=36 \\ y=\frac{36}{4} \\ y=9 \\ \\ x=3y=3\cdot9=27 \end{gathered}$

Therefore the larger number is 27 and the smaller number is 9.