Math miscellaneousHard
Question
If 
, then the smallest possible value of (a + b + c + d) if a, b, c, d are all positive integers -
, then the smallest possible value of (a + b + c + d) if a, b, c, d are all positive integers -Options
A.4
B.8
C.12
D.16
Solution
⇒ 5a - 3b = 0 & - 10a + 6b = 0
⇒ 5c - 3d = 0 & - 10c + 6d = 0
Now a,b,c,d are positive integers & for least
(a + b + c + d)
b = 5, a = 3, d = 5, c = 3
i.e. (a + b + c + d) = 16
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