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

From the problem, we know two things:

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

2) y = 6x + 15 (because when the larger number is divided by the smaller one, we get 6 as quotient and 15 as remainder)

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

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

So, the smaller number is 270.

Question

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

From the problem, we know two things:

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

2) y = 6x + 15 (because when the larger number is divided by the smaller one, we get 6 as quotient and 15 as remainder)

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

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

So, the smaller number is 270.

Knowee AI · Accepted Answer

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

From the problem, we know two things:

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

2) y = 6x + 15 (because when the larger number is divided by the smaller one, we get 6 as quotient and 15 as remainder)

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

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

So, the smaller number is 270.

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 ?