Question

If the sum of the squares of the digits of a two-digit number is 13, then what would be the sum of all the possible combinations of the digits?

• A. 44
• B. 55
• C. 54
• D. 45

Answer 1

Answer:

B. 55

Let the number be 10x + y form

⇒ x² + y² = 13

⇒ x = 2 or 3 and y = 3 or 2

Sum of such numbers = 23 + 32 = 55