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) 67
B) 56
C) 65
D) 76

Name: 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) 67 B) 56 C) 65 D) 76
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Question

Quizplus · Accepted Answer

The tens digit is x and the units digit is x + 1.x^2 + (x + 1)^2 = 852x^2 + 2x - 84 = 0(x - 6)(2x + 14) = 0x = 6The number is 67.

The Sum of the Squares of the Digits of a Positive