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One number is 6 less than the other. If the difference bettween of their squares is 72, find the numbers. |
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Answer» Answer: the numbers are 9 and 3 Step-by-step explanation: let the numbers be X and x - 6 given x² - (x - 6)² = 72 => x² - (x² + 36 - 12X) = 72 => x² - x² - 36 + 12x = 72 => 12x = 72 + 36 => 12x = 108 => x = 9 therefore the numbers are 9 and 3 |
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