MathCastle
Grade 5SuperchallengeDecimal Operations

Decimal Operations · Superchallenge problem

Write down every number of the form 0.□□0.\square\square where the two boxes hold two different digits from 11 to 99 (for example 0.370.37 and 0.730.73, but not 0.440.44 or 0.400.40). What is the sum of all these numbers?