The sum of three numbers is 97. the third number is 3 times the second. the second number is 8 more than the first. what are the numbers? a) first number: b) second number: c) third number:

A) First number: 13

B) Second number: 21

C) Third number: 63

Step-by-step explanation:

Let x, y and z be 1st, 2nd and 3rd numbers respectively.

We have been given that sum of three numbers is 97. We can represent this information in an equation as:

The 3rd number is 3 times the second. We can represent this information in an equation as:

The second number is 8 more than the first. We can represent this information in an equation as:

Substituting equation (3) in equation (2), we will get:

Substituting and in equation (1), we will get:

Therefore, the first number is 13.

Now, we will substitute in equation (3) as:

Therefore, the second number is 21.

Now, we will substitute in equation (2) as:

Therefore, the third number is 63.