There are two whole numbers, difference of their squares is a cube and difference of their cube is a square. These are the smallest possible numbers. can you find the numbers?
The numbers are 6 & 10.
6*6 - 10*10 = 64, which is cube of 4 6*6*6 - 10*10*10 = 784, which is square of 28.
The numbers are 10 and 6. 10 squared (100) - 6 squared (36) = 64, which is 4-cubed 10 cubed (1000) - 6 cubed (216) = 784, which is 28-squared.
There are two numbers with the difference of 3 between them and difference of their squares is 51. Can you find the number?
Difference between squares of two numbers is 8. Twice the square of first number by square of second number is 19. What are the numbers?