When the integer n is divided by 18, the quotient is x and the remainder is 6. When the integer n is divided by 25, the quotient is y and the remainder is 15. Which of the following is true?
Answer
The correct answer is A: 25y − 18x = 9. n = 18x + 6 and n = 25y + 15. Setting equal: 18x + 6 = 25y + 15 → 18x − 25y = 9 → 25y − 18x = −9.