ritumaheshwari02 wrote:

For an employee to qualify for early retirement at a certain company, the sum of the employee’s age and years of service must be at least 70, If Sue was K years old when she was hired by the company, what is the minimum age at which she could possibly qualify for early retirement.

A. K+35

B. 2K+35

C. (70+K)/2

D. (70-K)/2

E. 2(70-K)

If we let n = the number of years Sue works at the company that could qualify her for early retirement, then her minimum retirement age is K + n and we see that:

(K + n) + n = 70

Note that n is doubled in the equation; this is due to the fact that for each additional year that she works for the company, her age has one more year, but so does the number of years she has worked for the company.

K + 2n = 70

n = (70 - K)/2

Thus, Sue’s minimum age is:

K + (70 - K)/2 = 2K/2 + (70 - K)/2 = (70 + K)/2

Answer: C

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