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

`Jane = 15(3)/(10)`

Explanation:

Given

`Kent = 12(4)/(5)`

`Lane = 1(1)/(6) + Kent`

`Jane = 1(1)/(3) + Lane`

Required

Determine Jane's age

Substitute
`Kent = 12(4)/(5)` in
`Lane = 1(1)/(6) + Kent`

`Lane = 1(1)/(6) + 12(4)/(5)`

`Lane = (7)/(6) + (64)/(5)`

Take LCM

`Lane = (45+384)/(30)`

`Lane = (419)/(30)`

Substitute
`Lane = (419)/(30)` in
`Jane = 1(1)/(3) + Lane`

`Jane = 1(1)/(3) + (419)/(30)`

`Jane = (4)/(3) + (419)/(30)`

Take LCM

`Jane = (40+419)/(30)`

`Jane = (459)/(30)`

`Jane = 15(3)/(10)`