Question

The difference between cubes of two numbers is 12222. The sum of their squares is 1370. Find their product.

Answer 1

Since I don't have the information a-b, I am using this method

√1370 = 37.013... so numbers should be less than 37

∛1222= 23.034.....

So let us check with 23² = 529

1370 - 529 = 841 ie. 29²

So numbers we got 23 and 29

Let us check with cubes

29³ - 23³ = 24389 - 12167 = 12222

So numbers are 29 and 23

Product is 29 x 23 = 667