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? = 450 225x2 = 0 x2 = 450 450x2 = 0

Answer 1

Answer:

let the two number be x and y.

Given: the product of two numbers is 450.

then:  $x\times y =450$                        ......[1]

Also from the given condition that; the first number is half the second number. Also, x>y.

i.e, $y=\frac{1}{2}x$

Substitute this in equation [1];

$x \times \frac{1}{2}x =450$

or

$\frac{1}{2}x^2 = 450$                  [∴$x^a \times x^b =x^{a+b}$]

Multiply both sides by 2; we get

$x^2 =450 \times 2$

or

$x^2=900$

or

$x=\sqrt{900} =30$

Now, substitute this x value in [1], to solve for y;

$30 \times y=450$

Divide by 30 from both the sides, we get;

$y = \frac{450}{30}=15$

Therefore, the equation $\frac{1}{2}x^2 = 450$ which can be used to find the value of x.

The greater number is x = 30.

Answer 2

X*y = 450
y = 1/2x

x(1/2x) = 450
1/2x^2 = 450
x^2 = 450 * 2
x^2 = 900
x = sqrt 900
x = 30

y = 1/2(30)
y = 15

so ur numbers are : x = 30 and y = 15...but I am not sure of ur answer choices.