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
gladu [14]
3 years ago
5

three numbers have a sum of 100. the difference between the two larger numbers is 12. the difference between the two smaller num

bers is 2. what are the three numbers​
Mathematics
2 answers:
Margarita [4]3 years ago
7 0

Answer:

28 + 30 +  42   = 100

Step-by-step explanation:

s=small number

s+ (s+2) + (s+2 +12) =100

3s +16 = 100

3s =84

s = 28

small 28

mediam   28+2 = 30

large    30+12 = 42

musickatia [10]3 years ago
3 0
<h2>Answer:</h2>
  • The largest number is: 42
  • The middle number is: 30
  • and the smallest number is: 28
<h2>Step-by-step explanation:</h2>

Let the largest number be x.

Let the middle number be y

and let the smallest number be z.

Now, it is given that:

Three numbers have a sum of 100.

This means that:

     x+y+z=100-------(1)

Also,

The difference between the two larger numbers is 12.

i.e.

x-y=12

i.e.

x=12+y----------(2)

Also

The difference between the two smaller numbers is 2.

i.e.

y-z=2

i.e.

z=y-2---------(3)

On putting the value of x and z from equation (2) and equation (3) into equation (1) we have:

12+y+y+y-2=100

i.e.

10+3y=100

i.e.

3y=100-10

i.e.

3y=90

i.e.

y=90/3

i.e.

y=30

Hence, x=30+12

i.e. x=42

and

z=30-2

i.e.

z=28

You might be interested in
Pleaseee help me with number eight,, I don’t know how to do it at all.
iogann1982 [59]
1,200 because 4x 3 is 12 and 40 x 30=1,200
5 0
3 years ago
1 1/5 to the power of 3-1
Angelina_Jolie [31]
This is 6/5 to the 2 (6/5 squared). 36/25 is the answer
4 0
3 years ago
¾ is considered a real and rational number. true or false?
allochka39001 [22]
IT is True. 
<span>¾ is considered a  real number</span>
3 0
3 years ago
Read 2 more answers
What is the sqare root of 12
nasty-shy [4]

Answer:

3.46 but if you simplify it is 3.5

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Can someone help me with this question and show me the steps please<br> -13+x=-25
Dmitrij [34]

Answer:

x= -12

Step-by-step explanation:

-13+x=-25

+13     +13

   x= -12

3 0
3 years ago
Read 2 more answers
Other questions:
  • Where does the term Algorithm from?
    15·1 answer
  • Sue earns 20$ per hour. How much does she earn in 1/4 of an hour​
    14·1 answer
  • Mrs. Howard is hosting a catered dinner party to celebrate her daughter's graduation. The catering company she plans to use char
    13·2 answers
  • Determine the unit rate then determine which is a better buy.
    11·1 answer
  • a circle pool at a water treatment facility has a radius of 6 meters. about how long is the outer rim of the pool?
    15·2 answers
  • 4. Dan and Laura had to pay to sign up for swim lessons, and then they paid a certain amount per lesson. Dan
    9·1 answer
  • Write the equation y - 5 = -5(x + 2) in general form.<br><br> Plz Help
    7·1 answer
  • PRACTICE ANOTHER The administration of a large university wants to take a random sample to measure student opinion of a new food
    6·1 answer
  • I need help and so far i haven't got any help yet plz plz plz i need help
    13·1 answer
  • Find an equation in standard form for the hyperbola with vertices at (0, +/-6) and asymptotes at y = +/- (3/7)x
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!