Two numbers are such that the square of one is 224 less than 8 times the square of the other. If the numbers be in the ratio of 3 : 4, the numbers are
Choose one:
A) 6, 8	B) 9, 12	C) 12, 16	D) 16, 20	E) None
Solution   Let the numbers be 3x and 4x. Then,   (4x)2 = 8 x (3x)2 - 224   ‹=›16x2 = 72x2 - 224   ‹=›56x2 = 224.   ‹=›x2 = 4.   ‹=›x = 2.   So, the numbers are 6 and 8.   6, 8nswer 6, 8
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Two numbers are such that the square of one is 224 less than 8 times the square of the other. If the numbers be in the ratio of 3 : 4, the numbers are