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The product of two numbers is 1296. If one number is 16 times the other, find the two numbers? |
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Answer» Given that the product of two numbers = 1296. Let the second number = x say Then first number = 16 × x = 16x ∴ The product of two numbers = x × 16x= 16x2 According to the sum 16x2 = 1296 ⇒ x2 = \(\frac{1296}{16}\) = 81 ⇒ x2 = 81 ⇒ x = \(\sqrt{81}\) = \(\sqrt{9\,\times\,9}\) = 9 ⇒ x = 9 ∴ The first number = 16x = 16 × 9 =144 The second number = x = 9 |
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