Question

The difference of squares of two numbers is 180. The square of the smellier number is 8 times the larger number. Find the two numbers.

Answer 1

Let the small number be ‘x’. 

Square of the smaller number is 8 times the larger number. 

∴ x² = 8 × Larger number. 

∴ Larger number = \(\frac{1}{8}\)x² . 

Difference of these numbers is 180.

∴ Smaller number is 12, 

Larger number is 18.