Question

One number is 2 more than another. The difference between their squares is 52. What are the numbers?

Answer 1

The aprox, numbers:

4.1633 and 8.3266

Explanation:

a = 2b

a² - b² = 52

then:

(2b)² - b² = 52

4b² - b² = 52

3b² = 52

b² = 52/3

b² = 17.333

√b² = √17.333

b = 4.1633 aprox.

a = 2b

a = 2*4.1633

a = 8.3266

Check:

8.3266² - 4.1633² = 52

69.333 - 17.333 = 52

Answer 2

The numbers are 12 and 14.