Multiple choice general knowledge

Instead of adding 10 consecutive numbers, starting from x, Mr.Mistake added 11 consecutive numbers, starting from y and got the same answer. What is the value of x-y?

  1. 5

  2. 10

  3. 20

  4. 55

  5. cant be determined
Reveal answer Fill a bubble to check yourself
E Correct answer
Explanation

The sum of 10 consecutive numbers starting from x is 10x + 45 (since 0+1+...+9 = 45). The sum of 11 consecutive numbers starting from y is 11y + 55 (since 0+1+...+10 = 55). Setting them equal gives 10x + 45 = 11y + 55, which simplifies to 10x - 11y = 10. This is one equation with two variables, so x - y cannot be uniquely determined - it depends on the specific values chosen.

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