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 \(=\) $\frac{i}{i}$