Solve the problem.
-The ratio of two numbers is 2 to 3 and the sum of their squares is 52. Find the numbers.
A) The numbers are 4 and 6.
B) The numbers are 4 and 6 or -4 and -6.
C) The numbers are 6 and 9 or -6 and -9.
D) The numbers are 6 and 9.

Question

Quizplus · Accepted Answer

The given ratio is 2:3, so let the numbers be 2x and 3x. Their squares sum up to $ (2x)^2 + (3x)^2 = 52 $. Solving this equation gives $ x = 2 $ or $ x = -2 $, leading to the pairs (4, 6) and (-4, -6), respectively.

Solve the Problem. -The Ratio of Two Numbers Is 2 to 3 and to 3