Solve the problem.
-The sum of the squares of the digits of a positive two-digit number is 20 , and the tens digit is 2 more than the units digit. Find the number.
A) 42
B) 35
C) 53
D) 24

Question

Quizplus · Accepted Answer

The tens digit is 2 more than the units digit, so if we call the units digit x, the tens digit is x + 2. The equation for the sum of the squares of the digits is $x^2 + (x + 2)^2 = 20$. Solving this equation gives x = 2 (the units digit), making the tens digit x + 2 = 4. Therefore, the number is 42.

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