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The difference between two numbers is 2577. The quotient and remainder are respectively 26 and 2 when the larger number is divided by the smaller one. What is the largest number?
  • a)
    2594
  • b)
    2680
  • c)
    2851
  • d)
    2654
  • e)
    2632
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The difference between two numbers is 2577. The quotient and remainder...
Smaller no = x, then larger = x+2577
Now x+2577 = 26x + 2
Solve, x = 103
So larger no is = 103+2577
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Most Upvoted Answer
The difference between two numbers is 2577. The quotient and remainder...
Given information:
Difference between two numbers = 2577
Quotient and remainder when larger number is divided by smaller number = 26 and 2

Let's assume the smaller number to be x and the larger number to be y. Then we have:

y - x = 2577 --- (1)
y = 26x + 2 --- (2)

Substituting equation (2) in equation (1), we get:

26x + 2 - x = 2577
25x = 2575
x = 103

To find y, we can substitute the value of x in equation (2):

y = 26x + 2 = 26(103) + 2 = 2680

Therefore, the largest number is 2680, which is option (B).
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