16. Four mark example problems III

1. Mother is five times as old as her daughter. After $2$ years, the mother will be four times as old as her daughter. What are their present ages?

 

Answer:

 

The present age of the mother $=$

 

The present age of the daughter $=$

 

2. The denominator of a fraction is $3$ more than its numerator. If $2$ is added to the numerator and $9$ is added to the denominator, the fraction becomes $\frac{5}{6}$. Find the original fraction.

 

Answer:

 

The original fraction $=$ $\frac{i}{i}$