1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
posledela
3 years ago
6

The difference of two numbers is 20 and their product is 125, what is the answer?

Mathematics
2 answers:
Vera_Pavlovna [14]3 years ago
6 0

Answer:

Solution 1: The numbers are 25 and 5

Solution 2: The numbers are -5 and -25

Step-by-step explanation:

We have 2 unknown numbers, then we can define them as:

x: Unknown number 1  

y: Unknown number 2

The problem states that "the difference of two numbers is 20". We can translate this to x - y = 20

We also know that "their product is 125". We can translate this to x . y = 125

Putting both equations together, we get the following system of equations

\left \{ {{x - y = 20} \atop {x y=125}} \right.

Now, to solve this system of equations we can use the Substitution Method.

We can solve 1st equation for x, by adding y to both sides

x - y + y = 20 + y

x = 20 + y

We can substitute x by 20 + y on the 2nd equation

(20 + y) . y = 125

Applying distributive property on the left side

20y + y² = 125

Substracting 125 to both sides and rearranging the terms, we get

20y + y² - 125 = 125 -125

y² + 20y - 125 = 0

We can apply the quadratic equation attached to solve this (with a = 1, b = 20, c = -125).

( -20 ± √(20² - 4 . 1 . -125) ) / ( 2. 1 ) =

( -20 ± √(400 + 500) ) / ( 2) =

( -20 ± √900 ) / ( 2) =

( -20 ± 30 ) / ( 2) =

We get 2 results:

  • y1 = (-20 + 30) / 2 = 5
  • y2 = (-20 - 30) / 2 = -25

For each of these values of y, we can find the corresponding value of x:

  • x1 = 20 + y1 = 20 + 5 = 25  
  • x2 = 20 + y2 = 20 + (-25) = -5

brilliants [131]3 years ago
5 0

find prime factors to get the inbetween numbers for product, and choose the one that has a difference of 20, and it should be 5 and 25, both requirements are met.

You might be interested in
788.53 expressed to the neareast whole number​
boyakko [2]

Answer:

789

.5 is a 5 or larger so the 8 goes to a 9

Step-by-step explanation:

8 0
2 years ago
Which of the following functions is graphed below?
Varvara68 [4.7K]

Answer:

what  are you trying to ask?

Step-by-step explanation:

8 0
3 years ago
Which of the following is an exponential equation?<br><br> y = mx + b<br> y = a(b^x)
Darina [25.2K]
Y = a(b^x)

y=mx + b is the equation of a line. It is a linear function because it has a constant rate of change.

y = a(b^x) is an exponential function because it has has an exponent and its rate of change is not constant
4 0
3 years ago
Suppose that an individual has a body fat percentage of 18.8% and weighs 131 pounds. how many pounds of her weight is made up of
balu736 [363]
X weight         131
----           = -------------
18.8%             100%

Cross multiply and get 24.6 pounds
4 0
3 years ago
Read 2 more answers
Help me please! I'd really appreciate it
Svetllana [295]
The ratio of the sides are the same. So 6/24=x/56. This leads to x being 14.
4 0
3 years ago
Other questions:
  • They ratio of pencils to erasers is 4:1 if their are 20 pencils how many erasers are there
    9·1 answer
  • Use the formula aequals upper p left parenthesis 1 plus r right parenthesis superscript t to find the rate r at which ​$3000 com
    9·2 answers
  • The first five terms of a linear sequence are given below. 7 , 12 , 17, 22 , 27 , ... What is the next term of the sequence?
    14·1 answer
  • I need help please?!!!!!
    7·1 answer
  • Is 0 a Rational number
    13·2 answers
  • Derrick's Dog Sitting and Darlene's Dog Sitting are competing for new business. Derrick's Dog Sitting charges $14 plus $5 per ho
    5·1 answer
  • Pa help po thankyou
    12·1 answer
  • 4i+4-2i+10<br> whats the answer to this equation 0_0
    12·2 answers
  • Solve similar triangles (advanced)<br> Solve for x<br> x=?
    6·1 answer
  • Number line solutions to n&gt;-2
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!