A number when divided by the sum of 55 and 45 gives two times their difference as quotient and 11 as the remainder. The number is -

Question: A number when divided by the sum of 55 and 45 gives two times their difference as quotient and 11 as the remainder. The number is -

Solution:
the sum of 55 and 45 is = (55 + 45) = 100
the difference of 55 and 45 is = (55 - 45) = 10

so, the number is = {(2 × 10) × 100} + 11
= 2000 + 11
= 2011