One positive number is 2 larger than another number. The sum of their squares is 100. Find the numbers.
A) 8, 9
B) 6, 8
C) 7, 9
D) 4, 6
E) 9, 10

Name: One positive number is 2 larger than another number. The sum of their squares is 100. Find the numbers. A) 8, 9 B) 6, 8 C) 7, 9 D) 4, 6 E) 9, 10
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Question

Quizplus · Accepted Answer

Let the smaller number be x. Then the larger number is x + 2. The equation is x^2 + (x + 2)^2 = 100. Solving this gives x = 6, so the numbers are 6 and 8.

One Positive Number Is 2 Larger Than Another Number