Question

Anita is years older than Basilio. Three times Anita's age added to six times Basilio's age is 36. 1. Define the variables 2. Create a system of equations. 3. Find the age of each person I​

Answer 1

Answer :Anita's age = 7 years

Basilio's age = 2.5 years

Step 1. Assign variables to Anita's and Basilio's ages.

Anita's age = A

Basilio's age = B

Step 2. Use the information given to form two equations.

Anita is 4-1/2 years older than Basilio

A = 4.5 + B

Three times Anita's age added to six times Basilio's age is 36

3A + 6B = 36

Step 3. Substitute the value of A from first equation in to the second equation and solve for B

3(4.5 + B) + 6B = 36

13.5 + 3B + 6B = 36

13.5 + 9B = 36

9B = 36 - 13.5

9B = 22.5

B = 22.5/9 = 2.5

Step 4. Find the value of A

A = 4.5 + 2.5 = 7

Answer:

Anita's age = 7 years

Basilio's age = 2.5 years