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. 298

Answer 1

Answer:

C. 358

let the number of sweets be 25x + 8. (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 Total number of seats = 25 * 14 + 8 = 358