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The 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 ?240270295360

Question

The 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 ?240270295360

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Solution

Let's denote the smaller number as x and the larger number as y.

From the problem, we know that:

  1. y - x = 1365 (because the difference of two numbers is 1365)

  2. When y is divided by x, we get a quotient of 6 and a remainder of 15. This can be written as: y = 6x + 15

Now we can substitute y from the second equation into the first equation:

6x + 15 - x = 1365 5x + 15 = 1365 5x = 1365 - 15 5x = 1350 x = 1350 / 5 x = 270

So, the smaller number is 270.

This problem has been solved

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