Two numbers are such that the square of one is 224 less than 8 times the square of the other. If the numbers are in the ratio of 3 : 4, find the numbers.
Let there is a common term be x Then the numbers will be 4x and 3x. According to the question- (4x) ² = 8(3x) ² - 224 8(3x) ² - (4x) ² = 224 72x² - 16x² = 224 56x² = 224 x² = 4 x = 2, then numbers =4x =4×2=8 and 3x =3×2 =6. numbers 6,8
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