Question

Submit a full solution (your final answer AND your work) to the problems below.

A company conducted a survey to determine the ages of its employees. The data collected showed that the range of the data set was 40 years. If I know that the youngest employee is 30, how old is the oldest employee?

Answer 1

Let X be the age of the oldest employee.

Given that the youngest employee is 30.

We also know that the range of ages is 40 years.

Therefore, we can write:

X - 30 = 40

Adding 30 to both sides, we get:

X = 70

Therefore, the oldest employee is 70 years old.

Answer 2

The age of the oldest employee is 70 years.

Explanation:

The range of a data set is the difference between its maximum and minimum values.

`\boxed{\sf Range=Maximum\;value-Minimum\;value}`

Given the range is 40 years and the minimum value is 30 years, substitute these values into the formula and solve for maximum value:

`\implies \sf 40=Maximum\;value-30`

`\implies \sf 40+30=Maximum\;value-30+30`

`\implies \sf Maximum\;value=70`

Therefore, the age of the oldest employee is 70 years.