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Question 12 : The product of two positive numbers is 616. If the ratio of the difference of their cubes to the cube of their difference is 157 : 3, then the sum of the two numbers is

- 50
- 85
- 95
- 58

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Let the two numbers be a and b

From the question, we know

a x b = 616

and =

=

=

=

= - 1 =

=

=

= 3 x 3 x 4 = 36

a - b = 6, ab = 616

616 can be rewritten as 22 x 28, where 28 - 22= 6 using trial and error

So, a + b = 28 + 22 = 50

The question is **"The product of two positive numbers is 616. If the ratio of the difference of their cubes to the cube of their difference is 157 : 3, then the sum of the two numbers is " **

**Choice A** is the correct answer.

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