Question

Damon is 12 3 4 years old. Dwight is 1 1 2 years younger than Damon and Jane is 1 1 5 years younger than Dwight. How old is Jane?

Answer 1

Damon's age $=\tt 12 \frac{3}{4}$

Dwight's age :

$= \tt1 \frac{1}{2} \: years \: younger \: than \: \: Damon$

$= \tt12 \frac{3}{4} - 1 \frac{1}{2}$

$=\tt \frac{51}{4} - \frac{3}{2}$

▪︎LCM of 4 and 2 = 4

$=\tt \frac{51}{4} - \frac{3 \times 2}{2 \times 2}$

$=\tt \frac{51}{4} - \frac{6}{4}$

$= \tt \frac{45}{4}$

$\color{plum} = \color{plum}\tt11 \frac{1}{4}$

Thus, Dwight is $\color{plum}\tt11 \frac{1}{4}$ years old.

Jane's age :

$=\tt 1\frac{1}{5} \: years \: younger \: than \: Dwight$

$= \tt11\frac{1}{4} - 1 \frac{1}{5}$

$=\tt \frac{45}{4} - \frac{6}{5}$

▪︎LCM of 4 and 5 = 20

$= \tt\frac{45 \times 5}{4 \times 5} - \frac{6 \times 4}{5 \times 4}$

$=\tt \frac{225}{20} - \frac{24}{20}$

$= \tt \frac{201}{20}$

$\color{plum} =\color{plum} \tt10 \frac{1}{20}$

Thus, Jane is $\tt10 \frac{1}{20}$ years old.

Therefore, Jane's age = $\color{plum} \tt10 \frac{1}{20}$