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 is 1365.
On dividing the larger number by the smaller, quotient = 6 and remainder = 15.
Formula used:
Larger Number = Smaller Number × Quotient + Remainder
Difference = Larger Number - Smaller Number
Calculation:
Let the smaller number be x.
Larger Number = 6x + 15
Given, Difference = 1365
⇒ (6x + 15) - x = 1365
⇒ 6x - x + 15 = 1365
⇒ 5x + 15 = 1365
⇒ 5x = 1365 - 15
⇒ 5x = 1350
⇒ x = 1350 ÷ 5
⇒ x = 270
∴ The correct answer is option (2).
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