Given:
product of 2 numbers is 450.
first number is half the second number.
Let us make our own equation based on the given data.
Let x and y be the two numbers.
y * x = 450
y is the 1st number. It is said that it is half the second number, x.
y = 1/2 * x = x/2
Let us substitute y of the 1st equation by its value in the second equation.
x/2 * x = 450
x² / 2 = 450
x² = 450 * 2
x² = 900
√x² = √900
x = 30
The value of x, the 2nd number, is 30.
y = x/2 = 30/2 = 15
The value of y, the 1st number, is 15.
To check:
y * x = 450
15 * 30 = 450
450 = 450