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?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 18x − 25y = 9.
We can express the given information as two equations:
⇒ n = 18x + 6
⇒ n = 25y + 15
Since both expressions equal n, we can set them equal to each other:
⇒ 18x + 6 = 25y + 15
Rearranging the equation, we get:
⇒ 18x - 25y = 9