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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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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?

User Dritan
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1 Answer

4 votes
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.
User Raju Dudhrejiya
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7.3k points
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