The difference between two numbers is 1365. When larger number is divided by smaller one, the quotient is 6 and remainder is 15. What is the smallest number?

The difference between two numbers is 1365. When larger number is divided by smaller one, the quotient is 6 and remainder is 15. What is the smallest number? Correct Answer 270

Let the smaller number be x, then as the difference of two numbers is 1365

Then larger number will be 1365 + x

Dividend = Divisor × Quotient + Remainder

1365 + x = 6x + 15

5x = 1350

x = 270

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