In a certain test the number of successful candidates was three times more than that of unsuccessful candidates. If there had been 16 fewer candidates and 6 more would have been unsuccessful the number would have been as 2 to 1. Find the number of candidates?
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Question => In a certain test, the number of successful candidates was three times than that of unsuccessful candidates . If there had been 16 fewer candidates and if 6 more would have been unsuccessful, then number would have been as 2 to 1. Find the number of candidates.
Answer => let unsuccesful candidate = x then succesful person=3x
total candidate=4x
according to question,
now remaining 4x-16 candidate.
now,
unsuccesful candidate = x-4
succcesful candidate=3x-12
if we add 6 more unsuccesful candidate x+2 unsuccesful candidate
according to question:
2(x+2) = 3x-12
2x+4=3x-12
x=16
total candidate=4x 4×16 =64
so answer =64
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