DIRECTION for the question: Solve the following question and mark the best possible option.
After distributing the sweets equally among 25 children, 8 sweets remain. Had the number of children been 28, 22 sweets would have been left after equal distribution. What was the total number of sweets?
Solution
Let us assume that the total number of sweets = N.
N = 25a + 8 where "a" sweets are given to each one of the 25 children and,
N = 28b + 22 where "b" sweets are given to each one of the 28 children.
Equating them, we get: 25a - 28b = 14 ==> 25a = 14 (2b + 1)
Possible values for (a,b) are (14, 12), (42, 37),... and so on.
Possible values of N = 358, 1058,.. and so on.
Thus, out of the given options, the correct answer is Option A.
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