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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?

Correct Answer: 358

Explanation:

Let the total number of sweets be (25x + 8).


Then, (25x + 8) - 22 is divisible by 28


⟺ (25x - 14) is divisible by 28 ⟺ 28x - (3x + 14) is divisible by 28


⟺ (3x + 14) is divisible by 28 ⟺ x = 14.


Therefore Total number of sweets = (25 x 14 + 8) = 358.


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