Help me on math problem. TEACH. URGENT!?

Question

one number is eight less than another. the product of the two numbers is 345. what are the two numbers?

Show steps please. Ty!

ty everybody. But it happens that juzz doing random numbers helped me get the answer rofl thanks tho

Answer 1

so you have two numbers x and y

x = y-8 (one number is 8 less than another)
xy = 345 (product of the two numbers is 345)

now substitute in y-8 for x into the second equation

(y-8)y = 345
y^2 -8y -345 = 0 using the quadratic formula

y = (-b +/- sqrt(b^2-4ac)/(2a) where a = 1, b = -8, c = -345

y = (8 +/- sqrt((-8)^2 -4*1*(-345))/(2*1)
= (8 +/- sqrt(64+1380))/2
= (8 +/- sqrt(1444))/2
= (8 +/- 38)/2

y = -15 or 23

if y = -15 then x = (y-8) = (-15-8) = -23
if y = 23 then x=y-8 = 23-8 = 15

verify answers

15*23 = 345
(-23)*(-15) = 345

so your answers are

15 and 23 AND
-15 and -23

There are two sets of answers because it wasn't specified that the numbers were positive or negative.

Answer 2

Let the first number be n therefore the second number is n + 8. The product of n * (n + 8) = 345.

Solve for n

n*(n + 8) = 345
n^2 + 8n - 345 = 0
(n + 23)(n - 15)=0
n = -23 or n=15
so the two numbers are -23 and -15 or 15 and 23

Gotta assume that you are only looking for positive numbers so the answer would be 15 and 23.

Answer 3

One number we'll call x. This number is 8 less than another number we'll call y.

So the equation would look like this.

x = y-8

And the product of those to numbers x and y is 345. Or

x * y = 345

So we know x = y-8 we can plug that into the equation above to get:

(y-8) * y = 345

Multiply through the y to get:

y^2 - 8y = 345

bring the 345 to the left side

y^2 - 8y - 345 = 0

Use the quadratic formula.

And get y = -15 and 23.

Plug that into the first equation to find x.

Answer 4

1) x = y -8

2) xy=345

use direct substitution
plug equation 1 into equation 2

(y-8)(y)=345
distribute to get y^2-8y=345
subtract 345 from both sides
y^2 - 8y - 345 = 0
(y+15)(y-23)=0
y= -15, 23

plug the y value into the first equation
x = -15 - 8
x = -23

x=23-8
x=15
there are two sets of answers that work here (y= -15, x =-23 )
and (y = 23, x =15) Depending on the question, you figure out which is the correct one

Answer 5

You need to make this word problem into a system of equations. You know two things, and can relate them. First, one number is 8 less than the other. So you know that one number minus 8 equals the other. For ease of use, let's call one number (the first number) "X" and the other number "Y". In mathematical symbology, you know that x-8=y.

You also know that the product of the two numbers is 345. So you know that x*y=345.

So you have two equations:
x-8=y
x*y=345

Now solve!

Answer 6

numbers are x and x-8, so
x(x-8) = 345
x² - 8x = 345
x² - 8x + 16 = 345 + 16
(x - 4)² = 361
x - 4 = ±√361 = ±19
x = 4 + 19 = 23
x-8 = 15
or
x = 4 - 19 = -15
x-8 = -23

Answer 7

Let the number be x.
then second number is (x-8).
thus ,x*(x-8)=345
on solving this equation we get the two numbers as 23 & 15,.

Answer 8

let the number be x and (x-8)
x (x-8) = 345
x^2 - 8x - 345 = 0

use quadratic equation and solve for x

Answer 9

x(x-8)=345
x^2 -8x=345
x^2-8x-345=0
x^2+15x-23x-345=0
x(x+15) -23(x+15)=0
(x+15)(x-23)=0

so x= 23

one number is 23
and the other is 23-8= 15