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?

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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?

A44

B55

C54

D45

Answer:

B. 55

Read Explanation:

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

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