Question

Jane is 2 1/4 years younger than her sister Hilda. If Hilda is 15 5/6 years old how old is Jane? 13 1/2 17 1/2 13 7/12 18 1/2

Answer 1

Hilda's age is 13 7/12 years

Here, we want to calculate Jane's age, given Hilda's age and the difference between their ages.

From the question, we are told that Jane is 2 1/4 years younger than Hilda. What this means is that if we subtract 2 1/4 from Hilda's age, we will get Jane's age.

Mathematically, we proceed as follows to get Jane's age;

`\begin{gathered} 15(5)/(6)\text{ - 2}(1)/(4) \\ \\ We\text{ can turn the mixed fractions to improper fractions;} \\ \\ 15(5)/(6)\text{ = }(95)/(6) \\ \\ 2(1)/(4)\text{ = }(9)/(4) \\ \\ 15(5)/(6)\text{ - 2}(1)/(4)\text{ = }(95)/(6)\text{ - }(9)/(4) \\ \\ =\text{ }\frac{190\text{ - 27}}{12}\text{ = }(163)/(12) \\ \\ (163)/(12)\text{ = 13}(7)/(12) \end{gathered}`