Question

Mason is 11 ¾ years old. Lucas is 1 ⅜ years younger than mason and Jane is 1 ⅕ years younger than Lucas. How old is Jane

Answer 1

Mason is 11 ¾ years old.

Age of Mason = 11 ¾ years

`\begin{gathered} 11(3)/(4)=(11*4+3)/(4) \\ 11(3)/(4)=(47)/(4) \\ (47)/(4)=11.75 \end{gathered}`

Age of Mason =47/4

Age of mason = 11 years and 8 months

Lucas is 1 ⅜ years younger than mason

Age of Lucas = Age of Mason - 1 ⅜

`\begin{gathered} \text{Age of Lucas = Age of Mason -1}(3)/(8) \\ \text{Age of Lucas = }(47)/(4)-(1*8+3)/(3) \\ \text{Age of Lucas = }(47)/(4)-(11)/(3) \\ \text{Age of Lucas = }(141-44)/(12) \\ \text{Age of Lucas = }(97)/(12) \\ \text{Age of Lucas =8.033} \\ \text{Age of Lucas = 8 years } \end{gathered}`

Age of Lucas is 97/12 years old

Jane is 1 ⅕ years younger than Lucas.

Age of Jane = Age of Lucas - 1 1/5

`\begin{gathered} \text{ Age of Jane = Age of Lucas - 1}(1)/(5) \\ \text{ Age of Jane = }(97)/(12)-(1*5+1)/(5) \\ \text{ Age of Jane = }(97)/(12)-(6)/(5) \\ \text{ Age of Jane = }(485-72)/(60) \\ \text{ Age of Jane = }(413)/(60) \\ \text{ Age of Jane = }6.9 \\ \text{ Age of Jane = }6\text{ years }9\text{ months} \end{gathered}`

Age of Jane is 6 years 9 months