A positive real number is 5 less than another.

Question

A positive real number is 5 less than another. When 10 times the larger is added to the square of the smaller, the result is 73. Find the numbers.

Answer 1

The larger number is y and the smaller is y - 5.

10y +(y -5)² = 73

10y + y² - 10y + 25 =73

y² = 48

y = 6.926

x = 1.928