Let's call the smaller number x and the larger number x + 5.
According to the given information, we have the equation x(x + 5) = 150.
To solve this equation, we need to find the values of x that satisfy the equation.
Expanding the equation, we get x^2 + 5x = 150.
Rearranging the equation, we have x^2 + 5x - 150 = 0.
Now, we can factorize this quadratic equation (разложить на множители) or use the quadratic formula (квадратная формула) to find the values of x.
Once we find the values of x, we can determine the larger number by adding 5 to each value of x.
