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
Create a free account to view solution
View Solution FreeMore Math miscellaneous Questions
The image of the line in the plane 2x - y + z + 3 = 0 is the line...The sum of integers from 1 to 100 that are divisible by 2 or 5 is...The remainder left out when 82n - (62)2n + 1 is divided by 9 is...Let f(x) be differentiable on the interval (0, ∞) such that f(1) = 1, and for each x > 0. Then f(x) is...If A = and I = then which one of the following holds for all n ≥ 1, by the principle of mathematical indunction...