Question

In a certain year, the difference between Mary’s and Jim’s annual salaries was twice the difference between Mary’s and Kate’s annual salaries. If Mary’s annual salary was the highest of the 3 people, what was the average (arithmetic mean) annual salary of the 3 people that year?

Answer 1

Answer: Average annual salary of the 3 people is equal to Kate's annual salary.

Explanation:

Since we have given that

Difference between Mary's and Jim's annual salaries be m-j

Difference between Mary's and Kate's annual salaries be m-k

According to question, we get that

`m-j=2(m-k)\\\\m-j=2m-2k\\\\2k-j=2m\\\\2k-j=m`

Average annual salary of the 3 people would be

`(m+k+j)/(3)\\\\=(2k-j+j+k)/(3)\\\\=(3k)/(3)\\\\=k`

Hence, average annual salary of the 3 people is equal to Kate's annual salary.