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If a, b and c are positive integers such that a + b = 9 and ac − 2 bc = 0, what is the value of a?
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If a, b and c are positive integers such that a + b = 9 and ac − 2 bc = 0, what is the value of a?

User Etienne Prothon
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1 Answer

4 votes
ac - 2bc = 0
c(a - 2b) = 0
so a - 2b = 0............................................................(1)
a + b = 9 Multiply this equation by 2:-
2a + 2b =18 .......................................................(2)
Adding equations (1) and (2):-

3a = 18
a = 6 answer
User Francisco Meza
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8.0k points
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