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Two numbers differ by 4 and their product is 192. Find the numbers. |
Answer» Given, two numbers differ by 4. Let one of the numbers be ‘a’. Second number = a – 4 Also, their product is 192. ⇒ a(a – 4) = 192 ⇒ a2 – 4a – 192 = 0 ⇒ a2 – 16a + 12a – 192 = 0 ⇒ a(a – 16) + 12(a – 16) = 0 ⇒ (a + 12)(a – 16) = 0 ⇒ a = -12, 16 Thus numbers are -12, -16 or 12, 16 |
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