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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 ?
  • a)
    240
  • b)
    270
  • c)
    295
  • d)
    360
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
The difference of two numbers is 1365. On dividing the larger number b...
Let the smaller number be x. Then larger number = (x + 1365).
x + 1365 = 6x + 15
5x = 1350
x = 270
Smaller number = 270.
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Most Upvoted Answer
The difference of two numbers is 1365. On dividing the larger number b...
Problem Analysis:
Let's assume the smaller number as x and the larger number as y. According to the given conditions, we have the following equations:
1) y - x = 1365 (Equation 1)
2) y = 6x + 15 (Equation 2)

Solution:
We can solve this problem by substituting the value of y from Equation 2 into Equation 1 and then solving for x.

Substituting y = 6x + 15 in Equation 1, we get:
6x + 15 - x = 1365
5x + 15 = 1365
5x = 1365 - 15
5x = 1350
x = 1350 / 5
x = 270

Therefore, the smaller number is 270.

Verification:
Now, let's verify our answer by substituting the values of x and y in the given conditions.

From Equation 1:
y - x = 1365
y - 270 = 1365
y = 1365 + 270
y = 1635

From Equation 2:
y = 6x + 15
1635 = 6 * 270 + 15
1635 = 1620 + 15
1635 = 1635

Therefore, both equations are satisfied by x = 270 and y = 1635.

Conclusion:
The smaller number is 270.
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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 ?a)240b)270c)295d)360Correct answer is option 'B'. Can you explain this answer?
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