2016? Nah I Choose 4016!
a + b + c 1 1 = 2 0 0 7 4 0 1 6 , c + b + a 1 1 1 = q p
Positive integers a , b , c , p and q satisfy the system of equations above. If p and q are coprime, submit your answer as p + q .
The answer is 6023.
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1 solution
How much did you get in Mains?
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Bad... 213
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Not very bad. Best of luck in Mains. What were your individual scores.
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@Kushagra Sahni – PCM-63+56+94
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@Rishabh Jain – 94 in Maths Nice.
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@Kushagra Sahni – Yeah... Even though I have managed more if I had worked on my weaknesses in maths and forcefully learned NCERT for chemistry but let's see what ADV has got for me!! :-)
Relevant wiki: Fraction Arithmetic
2 0 0 7 4 0 1 6 = 2 + 2 2 0 0 7 1 = 2 + 1 0 0 3 + 2 1 1 Thus by comparison, we get a = c = 1 / 2 and b = 1 0 0 3 .Thus,
c + b + a 1 1 1 = a + b + c 1 1 1 ( Since a = c ) Note this is the reciprocal of the first expression given in question and thus equals 4 0 1 6 2 0 0 7 .Thus, p + q = 6 0 2 3 .