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
Anit [1.1K]
3 years ago
7

The sum of two numbers is 172. Their difference is 10. What are the numbers?

Mathematics
2 answers:
kykrilka [37]3 years ago
5 0

Answer:

The numbers are 91 and 81

Step-by-step explanation:

Let:

x be the first number.

y be the second number.

The sum of two numbers is 172.

x + y = 172

Their difference is 10.

x - y = 10

Try to arrange for solving x:

x - y = 10

x = 10 + y

Now substitute the x to the first equation.

x + y = 172

(10 + y) + y = 172

10 + y + y = 172

10 + 2y = 172

2y = 172 - 10

2y = 162

y = 162 ÷ 2

y = 81

Now solve for x:

x + y = 172

x + (81) = 172

x = 172 - 81

x = 91

Now let's check one more time:

The sum of two numbers is 172:

91 + 81 = 172

172 = 172 (correct)

Their difference is 10:

91 - 81 = 10

10 = 10 (correct)

mrs_skeptik [129]3 years ago
5 0

Answer:

Step-by-step explanation:

let x , y two numbers :  x+y =172.....(1)

                                     x - y = 10...(2)

add (1) and (2) :2x= 182

so : x = 182/2= 91

put x = 91 in (1) : 91+y =172

y = 172  - 91 = 81

You might be interested in
AB has endpoints at (-4,5) and (4,-3) using the midpoint formula what is the midpoint segment
Mamont248 [21]

Answer:

(0,1)

Step-by-step explanation:

5 0
3 years ago
I dont understand this question <br>-32=8m<br><br><br><br>​
lorasvet [3.4K]

Answer:

m= -4

Step-by-step explanation:

the question is asking you to make the variable 'm' by its self and find what it is equal to. you divide 8 by both sides. this gets 'm' alone and -32 divided by 8 is -4.

6 0
3 years ago
Find the interquartile range of the data.
likoan [24]

The answer is 14. Here is how I work it out.


First we are going have to identify quartile 1 and quartile 3.


So after putting the numbers in order from least to greatest mark the number with a half way point.

This is optional but it will help us spot the sections better.


31,33,35,41,43,|46,48,49,49,50

Next put parentheses around the remaining groups of numbers.

(31,33,35,41,43,)|(46,48,49,49,50)


For the next step we have to find the median of each group.


(31,33,35,41,43,)|(46,48,49,49,50)


The median of each group, are called the quartiles, the median of the lower half is quartile 1, and the median of the upper half is quartile 3.


Now subtract quartile 1 from quartile 3.


49 – 35 = 14


So the interquartile range of this data set is 14.

4 0
3 years ago
I have no idea how to solve this. Help would me much appreciated.
Otrada [13]

Answer:

Adam is 9 years old.

Step-by-step explanation:

Let d and c represent Adam's and Alicia's ages.

d = c - 15, and

c + 6 = 2(d + 6)

Rearrange d = c - 15 as c = d + 15, and then substitute d + 15 for c in the second equation.  We obtain:

d + 15 + 6 = 2(d + 6), or

d + 21 = 2d + 12

Combining like terms, we get 21 = d + 12, or 9 = d.

If d = 9 then c = d + 15, or c = 9 + 15, or c = 24.

Adam is 9 years old.

7 0
3 years ago
Gus is 8 years younger than his brother, Alex. Alex is x years old. Write an algebraic expression that describes how old his is
Lera25 [3.4K]

Answer:

Gus = y

Alex = x

x=y*2




8 0
3 years ago
Other questions:
  • How do I write this as a math equation: it's number 13
    12·1 answer
  • Question 2(Multiple Choice Worth 5 points)
    9·1 answer
  • -1/6+2/3 (9-3/4)-1/2 can anyone please solve this?
    6·1 answer
  • A group of neighbors are constructing a community garden that is 80 m wide and 40 m long the top to vertex are plotted below at
    10·1 answer
  • 4 movie ticlet cost $35 = ? dollars per ticket
    12·1 answer
  • Answer right get brainiest !!!! 12 points
    9·1 answer
  • Identify the system of equations that is satisfied by the given ordered pair.
    12·1 answer
  • What is the volume of a football in cm³​
    8·1 answer
  • Math I need help I with it if you can help me out
    12·1 answer
  • ABC is a straight line. BD=BC Angle ADB=80° Angle BDC=20° Work out the size of the angle marked x. Give reason for your answer.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!