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3 September, 13:33

Bob and Cindy are the same age. At age 25 Cindy began saving $2,000 a year while Bob saved nothing. At age 50, Bob realized that he needed money for retirement and started saving $4,000 per year while Cindy kept saving her $2,000. Now they are both 75 years old. Who has the most money in his or her retirement account?

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  1. 3 September, 13:41
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    Both will save the equal amount of money at the age of 75 years

    Explanation:

    Given:

    Amount saved by Cindy per year = $2,000

    Amount saved by Bob each year = $4,000

    Now,

    Cindy started saving at the age of 25 and till the age of 75

    thus,

    The total number of years for which Cindy saved = 75 - 25 = 50 years

    Therefore,

    The total amount saved by the Cindy

    = Amount saved each year * Total number of years

    = $2,000 * 50

    = $100,000

    and,

    Bob started saving at the age of 50 and till the age of 75

    thus,

    The total number of years for which Bob saved = 75 - 50 = 25 years

    Therefore,

    The total amount saved by the Bob

    = Amount saved each year * Total number of years

    = $4,000 * 25

    = $100,000

    Hence, Both will save the equal amount of money at the age of 75 years
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