What 2 digits have a sum of 13 and a product of 12?

Answer 1

Let the two digits be represented by a and b.

a x b = 12 then, b = 12/a.

a + b = 13.........after substituting for b this becomes :-

a + 12/a = 13.....multiply throughout by a :-

a2 + 12 = 13a....re-arrange :-

a2 - 13a + 12 = 0

This factors as (a - 12)(a - 1) = 0

When a - 12 = 0 then a = 12

When a - 1 = 0 then a =1

As we have already substituted for b then b can take one of theses values and the two numbers are 1 and 12.

Note : The solution can be easily determined from the values supplied in the question but the process of finding the answer will apply to any such problem.

Answer 2

Well, isn't that just a happy little puzzle! The two digits that have a sum of 13 and a product of 12 are 4 and 9. You see, when you add them together, you get 13, and when you multiply them, you get 12. Just like painting, sometimes things come together in the most delightful way!

Answer 3

Well, darling, the two digits you're looking for are 4 and 9. They add up to 13 and when you multiply them, you get 36. So, there you have it, 4 and 9 are the dynamic duo you're searching for.

Answer 4

10 1

Answer 5

10