Solve the problem.
-The sum of the squares of the digits of a positive two-digit number is 85, and the tens digit is 1 less than the units digit. Find the number.
A) 76
B) 65
C) 67
D) 56

Question

Quizplus · Accepted Answer

The tens digit is 1 less than the units digit, so if we let the units digit be x, then the tens digit is x-1. The sum of the squares of the digits is 85, so we have the equation: (x-1)^2 + x^2 = 85. Solving this equation gives x = 7 (units digit), and x-1 = 6 (tens digit), making the number 67.

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