One of a times (one of B plus one of C) is equal to one of four. Find a, B, C

One of a times (one of B plus one of C) is equal to one of four. Find a, B, C


A. 1 / A * 1 / B + 1 / C = 1 / 31 / A * (1 / B + 1 / C) = 1 / 4 to get 1 / C-1 / A * 1 / C = 1 / 1212a-12 = ACA (12-c) = 12. Because a and C are natural numbers, a can take 1,2,3,4,6,12. When a = 1, C = 0 (C is natural number) and a = 2, C = 6 1 / 2 * 1 / B + 1 / 6 = 1 / 3, B = 3A



The ratio of a to B is 3 to 4, B to C is 1 / 4 to 1 / 3


A:B=3:4 A=3/4B
B:C=(1/4):(1/3)=3:4 C=4/3B
A:B:C=(3/4B):B:(4/3B)=9:12:16

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