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 ?

Answer: Option C

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.