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The difference between two numbers is 1365. When the larger number is divided by the smaller number, the quotient is 6 and the remainder is 15. The smaller number is
  • a)
    240
  • b)
    270
  • c)
    295
  • d)
    360
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The difference between two numbers is 1365. When the larger number is ...
x - y = 1365 ... (1)
6y + 15 = x ...... (2) 
From equations (1) and (2), we get 5y + 15 = 1365
or y = 270 
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Most Upvoted Answer
The difference between two numbers is 1365. When the larger number is ...
Given:
The difference between two numbers is 1365.
The larger number divided by the smaller number gives a quotient of 6 and a remainder of 15.

To Find:
The smaller number.

Solution:

Let's assume the larger number as 'x' and the smaller number as 'y'.

Step 1: Set up the equations based on the given information.
Given that the difference between the two numbers is 1365, we can write:
x - y = 1365 ...(Equation 1)

Given that the larger number divided by the smaller number gives a quotient of 6 and a remainder of 15, we can write:
x = 6y + 15 ...(Equation 2)

Step 2: Solve the equations simultaneously to find the values of x and y.
To solve the equations, we can substitute the value of x from Equation 2 into Equation 1:
6y + 15 - y = 1365
5y + 15 = 1365
5y = 1365 - 15
5y = 1350
y = 1350 / 5
y = 270

Step 3: Find the smaller number.
Since y represents the smaller number, the answer is 270.

Therefore, the correct answer is option 'B' (270).
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The difference between two numbers is 1365. When the larger number is divided by the smaller number, the quotient is 6 and the remainder is 15. The smaller number isa)240b)270c)295d)360Correct answer is option 'B'. Can you explain this answer?
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