Medium
The difference between two numbers is 1365. Among the two numbers, the larger number is divided by the smaller number. The remainder is 15 and the quotient is 6. Find the small number.
Explanation
Explanation
Step 1: Let the smaller number be x. Since the difference between the two numbers is 1365, the larger number is x + 1365. Step 2: When the larger number is divided by the smaller number, the quotient is 6 and the remainder is 15, so: x + 1365 = 6x + 15. Step 3: Simplify: 1365 - 15 = 6x - x, which gives 1350 = 5x, so x = 270. So the smaller number is 270.
PRO TIP
Re-check your working by substituting the answer back into the original question.