## Step By Step Solution:

Let **x** be the first number and y be second number

According to the Question,

Three times of another number (y) is

3y

Now,

Adding first number to three times of another number:

x+3y

According to the Question,

x+3y=24

Now , for the second equation it is given that

5 times of x added to 3 times of y is 36:

5x+3y=36

Now,

Solve the system of linear Equation

x+3y=24 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~-(i)\\5x+3y=36 ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~-(ii)

Subtract** (ii)** equation from** (i)** equation, we get

-4x=-12\\\therefore x=3

For value of y:

Put value of x in equation (i) :

x+3y=24 \\\implies3+3y=24\\\implies3y=21\\\therefore y=7

**Solution::**

First Number(x)=3

Second Number(y)=7

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