Question

The difference between the squares of two numbers is 35. Twice the square of

the first number increased by the square of the second number is 73. Find the
numbers.

Answer 1

Los números son

7 y 8

Explicación paso a paso:

Si el número menor es "x" , el mayor es "x + 1"

entonces

( x + 1 )² - x² = 15

x² + 2x + 1 -x² = 15

2x + 1 = 15

2x = 15 - 1

2x = 14

x = 14/2

x = 7 ( número menor )

x + 1 = 7 + 1

x + 1 = 8 ( número mayor )