One number added to three times another number is 24 . five times the first number added to three times the other number is 36 . find the numbers

First number = 3

Second number = 7

Step-by-step explanation:

Let one number be =

Let other number be =

"One number added to three times another number is 24" can be written mathematically as:

Five times the first number added to three times the other number is 36 can be written mathematically as:

So, we have a system of equation as:

A)

B)

Solving for and using elimination.

Multiplying equation A with -1 and adding it to B to eliminate

would be

would be

+  

We have,

Thus is eliminated. Now, we can solve for

Dividing both sides by 4.

∴

Plugging in in equation A to solve for

Subtracting both sides by 3.

Dividing both sides by 3.

∴

So, first number = 3

Second number = 7

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