Answer:
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.