Two numbers differ by 4 and their product is 192. Find the numbers.

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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