1.

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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