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

Question

mamaluj

1 month ago

6

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?

Mathematics

2 answers:

AnnZ [12.3K] · Answer 1 · 2026-04-10T10:52:51+03:00

AnnZ [12.3K]1 month ago

4 0

Xy = 450

y = x/2 => x=2y plugging this into the first equation yields 2y*y=450 => y^2 = 225

y=15 since 15*15=225

x=2y therefore x=2*15 = 30

x=30
y=15

I hope this is helpful to you

lawyer [12.5K] · Answer 2 · 2026-04-10T10:54:27+03:00

Response:

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

Detailed explanation:

Let x denote the first number, while y denotes the second number.

We are informed that the product of the two numbers is 450, which can be expressed as an equation:

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

Additionally, the condition states that the first number is half the second number. We can express this as another equation:

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

To find the larger number, y, we will substitute the second equation into the first, resulting in:

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

Thus, the equation we need is $\frac{1}{2}y\cdot y=450$ .