Question

The difference between 2 numbers is 1356. when the largest number is divided by the smallest one, the quotient is 6 and the remainder is 15. the smaller number is ?

Answer 1

Let the larger number be x and smaller be y

The difference is given as 1356 so we get a equation

x - y = 1356

and by the second condition given in your question we get equation

we know

dividend = divisor × quotient + remainder
x = 6y + 15

putting x = 6y + 15 in equation ( l ) we get
6y + 15 - y = 1356

5y = 1356 + 15

5y = 1371

y = 1371/5

y = 274.2

putting y = 274.2 in equation ( l ) we get

x - 274.2 = 1356

x = 1356 + 274.2

x = 1620.2