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) 56
B) 65
C) 76
D) 67

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 their digits is 85, which gives us the equation $(x-1)^2 + x^2 = 85$. Solving this equation, we find that x = 7, making the tens digit 6. Therefore, the number is 67.

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