Question
Download Solution PDFThe difference of two numbers is 1365. On dividing the larger number by the smaller, we get 6 as quotient and the 15 as remainder. What is the smaller number ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The difference of two numbers = 1365
On dividing the larger number by the smaller:
Quotient = 6
Remainder = 15
Formula used:
Dividend = Divisor × Quotient + Remainder
Let the smaller number be x.
The larger number = 6x + 15
Difference = Larger number - Smaller number
1365 = (6x + 15) - x
Calculations:
1365 = (6x + 15) - x
⇒ 1365 = 5x + 15
⇒ 1350 = 5x
⇒ x = 270
∴ The correct answer is option (2).
Last updated on Feb 11, 2025
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