Question

Kent is 12 4/5 years old. Lane is 1 1/6
Years Older than kent and jane
is 1 1/3 year older than lane
How old is jane?

Answer 1

Answer:

$Jane = 15\frac{3}{10}$

Step-by-step explanation:

Given

$Kent = 12\frac{4}{5}$

$Lane = 1\frac{1}{6} + Kent$

$Jane = 1\frac{1}{3} + Lane$

Required

Determine Jane's age

Substitute $Kent = 12\frac{4}{5}$ in $Lane = 1\frac{1}{6} + Kent$

$Lane = 1\frac{1}{6} + 12\frac{4}{5}$

$Lane = \frac{7}{6} + \frac{64}{5}$

Take LCM

$Lane = \frac{45+384}{30}$

$Lane = \frac{419}{30}$

Substitute $Lane = \frac{419}{30}$ in $Jane = 1\frac{1}{3} + Lane$

$Jane = 1\frac{1}{3} + \frac{419}{30}$

$Jane = \frac{4}{3} + \frac{419}{30}$

Take LCM

$Jane = \frac{40+419}{30}$

$Jane = \frac{459}{30}$

$Jane = 15\frac{3}{10}$