Solve the problem.
-The sum of the squares of the digits of a positive two-digit number is 61, and the tens digit is 1 more than the units digit. Find the number.
A) 54
B) 56
C) 65
D) 45

Question

Quizplus · Accepted Answer

The tens digit is 1 more than the units digit, so if we call the units digit x, the tens digit is x+1. The equation for the sum of the squares of the digits is (x+1)^2 + x^2 = 61. Solving this equation gives x = 4, so the tens digit is 5 and the units digit is 4, making the number 54. However, the correct representation of the number based on the options provided is 65, indicating a mistake in my explanation process. Correctly, the number that fits the given conditions is 65, where the tens digit (6) is 1 more than the units digit (5), and the sum of their squares (36 + 25) equals 61.

Solve the Problem. -The Sum of the Squares of the Digits of a Digits