Question 20
Lilli tries to be a well-behaved kangaroo but she is having just too much fun not to lie every now and then. Therefore every third statement of hers is a lie and the rest is true. Sometimes she starts with a lie and sometimes with one or two true statements. Lilli thinks of a two-digit number and says to her friend: 1: “One digit of the number is a 2.” 2: “The number is greater than 50.” 3: “It is an even number.” 4: “The number is less than 30.” 5: “The number is divisible by 3.” 6: “One digit of the number is a 7.” How big is the sum of the digits of the number, Lilli is thinking of?