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since A/B+C=2/5, then A/All=2/7, similarly C/all=4/13,

now the minimum possible candies will be LCM of 7 & 13, i.e 91

hence answer is 91
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Three children A, B and C have candies such that the ratio of candies with A to the total candies with other two is 2 : 5, and the ratio of candies with C to the total candies with other two is 4 : 9. The minimum possible number of total candies with A, B and C is

When we're told that the numbers of two things a and b are in a ratio a:b, we know that the number of a things is a multiple a, the number of b things is a multiple of b, and the total number of things is a multiple of a + b.

Thus, since the ratio of A's candies to B's and C's candies is 2:5, we know that the total number of candies is a multiple of 2 + 5 = 7.

Similarly, since the ratio of C's candies to A's and B's is 4:9, we know that the total number of candies is a multiple of 4 + 9 = 13.

Thus, the minimum total number of candies must be the least common multiple of 7 and 13, which is 91.

(A) 64
(B) 91
(C) 72
(D) 56
(E) 45


Correct answer: B
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