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?.

Answer 1

The smaller number is 270 and the largest number is 1635 if the difference between the two numbers is 1365.

What is a linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let x and y be the smaller number and larger number respectively.

From the question:

y − x = 1365

y = 6x + 15

After solving the above two linear equations:

x + 1365 = 6x + 15

5x = 1350

x = 270

y = 1635

Thus, the smaller number is 270 and the largest number is 1635 if the difference between the two numbers is 1365.

Learn more about the linear equation here:

brainly.com/question/11897796

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