Verified Answer :

xy = 450

y = x/2 => x=2y  substituted inside first equation will get 2yy=450 => y^2 = 225

y=15 because 15
15=225

x=2y so x=2*15 = 30 

x=30
y=15

hope this will help you

Answer:

\(\frac{1}{2}y\cdot y=450\)

Step-by-step explanation:

Let x represent 1st number and y represent 2nd number.

We have been given that the product of two numbers is 450. We can represent this information in an equation as:

\(x\cdot y=450...(1)\)

We are also told that the first number is half the second number. We can represent this information in an equation as:

\(x=\frac{1}{2}y...(2)\)

To solve for greater number ,y, we will substitute equation (2) in equation (1) as:

\(\frac{1}{2}y\cdot y=450\)

Therefore, our required equation would be \(\frac{1}{2}y\cdot y=450\).