The sum of the squares of the digits of a positive two-digit number is 13, and the units digit is 1 more than the tens digit. Find the number.
A) 23
B) 32
C) 34
D) 43

Question

Quizplus · Accepted Answer

The number can be represented as 10x + (x+1), where x is the tens digit and (x+1) is the units digit. The sum of the squares of its digits is x^2 + (x+1)^2 = 13. Solving this equation gives x = 2, so the number is 23.

The Sum of the Squares of the Digits of a Positive