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 ?

– by
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 ?
[A].

328

[B].

348

[C].

358

[D].

Data inadequate

Answer: Option C

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.