Question
Download Solution PDFWhen 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 (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
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.
Formula Used:
n = 18x + 6
n = 25y + 15
Calculation:
Since both expressions are equal to n, we can set them equal to each other:
18x + 6 = 25y + 15
⇒ 18x - 25y = 15 - 6
⇒ 18x - 25y = 9
The correct equation is 18x - 25y = 9.
Last updated on Jul 22, 2025
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