After distributing the sweets equally among 25 children, 8 sweets remain. Had th

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Question
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?
Options
A. 328
B. 348
C. 358
D. Data inadequate

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.