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13 October, 05:12

Bill weighs 80 kilograms and is gaining 2 kilograms each month. Phil weighs 65 kilograms and is gaining 5 kilograms each month. How many months, m, will it take for Bill to weigh the same as Phil?

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  1. 13 October, 05:37
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    Using the formula for the nth term of an arithmetic sequence we can write:

    80 + (n - 1) 2 = 65 + (n - 1) 5

    80 + 2n - 2 = 65 + 5n - 5

    3n = 18

    n = 6

    The answer is 6 months.
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