---
title: "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?"  
description: "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?"  
author: "Aditya Patel"  
published: 2019-09-18  
canonical: https://answers.mindstick.com/qa/72344/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  
category: "math"  
tags: ["math and arithmetic", "mathematics"]  
reading_time: 1 minute  

---

# 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?

The [difference](https://www.mindstick.com/blog/398/difference-between-object-type-and-var-type) between 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?

a) 270

b) 240

c) 284

d) 320

## Answers

### Answer by Sanat Shukla

Answer --- **(a)** **Explanation:** Let the smaller number be x. Then larger number = (x + 1365) ∴ X + 1365 = 6x + 15 5x = 1350 X = 270 ∴ Smaller number = 270


---

Original Source: https://answers.mindstick.com/qa/72344/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

Copyright © MindStick Software Pvt. Ltd. This Markdown version is provided for developers, AI systems, and offline reading.