Question

The difference between Cassandra's age and Borg's age is 3 years. The sum of 8 times Cassandra's age and twice Borg's age is 94 years. How old is each

Answer 1

Cassandra 10, Borg 7

Explanation:

Let c be Casandra's age and b be Borg's age. We can set the equation c-b=3. We can also set the equation 8c+2b=94. From the first equation we get c=b+3. Substitute this for c to get 8(b+3)+2b=94. Simplify to get 10b+24=94. Subtract then divide to get Borg's age is 7. Then since Cassandra is 3 yrs older than Borg, Cassandra's age is 10