# What is The Smaller Number

The difference of two numbers is 1365. On dividing the large number by the smaller, we get 6 as quotient and the 15 as remainder What is the smaller number?

- 270
- 290
- 230
- 255

**Answer: (1) 270**

**Explanation:-
**Let the two numbers be X and Y

The difference two numbers = 1365

Then, X – Y = 1365 ……………. (1)

On dividing the larger number by the edupil smaller number, we get 6 as quotient and the 15 as remainder.

Then, X = 6 Y + 15

X = 6 Y + 15

X – 6 Y = 15 ……………. (2)

Equation (2) is subtracted from equation (1),

Then, X – X – Y + 6 Y = 1365 – 15

5 Y = 1350

Y = 1350/5

Y = 270

Put the value of Y = 270 in equation (1),

X – 270 = 1350

X = 1350 + 270

X = 1620

Then, the smaller number is Y = 270.

Hence, the answer is (1) 270.