When would this employee retire? I cant seem to solve this question > A certain company retirement plan has "a rule of 70" provision that allows an employee to retire when the employees age plus years of employment with the company total at least 70. In what year could a female employee hired in 1986 on her 32and birthday first be eligible to retire under this provision ? (Answer: $2005$) I cant seem to figure how much experience she has with this company. Any suggestions on how to solve this problem Edit: Could anyone please tell me what I am doing wrong here: At 1986 she was 32 and joined the company. Now she needs to work for the company for $\geqslant 70-32 = 38$ more Years So $1986 + 38 = 2024$ which is wrong. Why is this method wrong?

If she is hired at age 32 and works for the company $n$ years, then her age will be $32+n$. And she has to retire when the sum of these is 70. So$$n+32+n=2n+32=70.$$ we can solve this for $n$ and get $n=19$. So she can only work for the company 19 years. If she was hired in 1986, she must retire in year $1986+19=2005$.