If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

# GMAT: Math 17

92-95, pg. 164. Created by Sal Khan.

## Want to join the conversation?

• Question #95

I find the following method to be an easier way to answer this question. Start by finding out how many years it would take to qualify and then add it to her starting year to determine her year of eligibility.

70 >or= 32+2Y and solve for y and add to 1986.

32 is her starting age, and you get twice the credit for each year she works due to age and tenure.
• During the GMAT exam the way you describe would probably be more intuitive and faster, but Sal's method is mathematically more basic, which helps people during the learning stages, but requires several more steps to complete and leaves more chance for error when on a time crunch. I solved initially with your method as well, but am glad to see his as it might be useful on other problem types.
(1 vote)
• Thank you, now I undserstand
(1 vote)
• Question #95
Can't you just do 70=32+2x and solve for x? x=19 added to 1986 = 2005 being the first yeah of eligibility.
(1 vote)
• Each year that the employee works for the company, she also becomes a year older. So, she gets 2 "years" credit for each year she is employed, one for the year that she worked and one because her age increased by a year. So, for example, she started in 1986 at 32 years old. In 1987, she would have worked 1 year, and she would turn 33, so her age plus her 1 year of employment would = 34. In 1988, she will turn 34 and she will have been employed for 2 years, so age + years employed would equal 36. The amount that counts towards her retirement goal of 70 is Age + Years of employment, so this amount increments at a rate of 2 per calendar year.
(1 vote)
• A really easy and quick way to solve 95)
a+y>or=70 so we essentially solve for a+y=70.
When Age = 32, Years = 0 = 36 which is not equal to 70
Simply add 10 to each side till you hit 70
So at A=42, Y=10 which is equal to 52 which is not equal to 70
At age 52, Y =20 which is 72
So at age 51, Y = 19 = 70

So from 1986, with 19 years of experience, the year would be 2005