Question

the product of two numbers is 450. the first number is half the second number. which equation can be used to find x, the greater number?

Answer 1

Xy = 450

y = x/2 => x=2y  substituted inside first equation will get 2y*y=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 2

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 $\frac{1}{2}y\cdot y=450$.