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
Iteru [2.4K]
2 years ago
12

The sum of two numbers is 72 and their difference is 26. find two numbers?

Mathematics
1 answer:
Archy [21]2 years ago
7 0

9514 1404 393

Answer:

  23, 49

Step-by-step explanation:

Let s represent the smaller of the two numbers. Then the larger is s+26, and the sum is ...

  s + (s+26) = 72

  2s = 72 -26

  s = (72 -26)/2 = 23

Then the larger number is

  s +26 = 49

The two numbers are 23 and 49.

_____

The reason we wrote the solution this way is to show you that the smaller number is half the difference between the given sum (72) and difference (26). This is the generic solution to a "sum and difference" problem. The smaller number is always half the difference of the give sum and difference. (Similarly, the larger is always half the sum of the given sum and difference.)

That is, the two numbers are always half the sum ± half the difference:

  72/2 ± 26/2 = {36+13, 36-13} = {49, 23}

You might be interested in
Write the numerical expression as a power. (4 x4 x 4 = )
denis23 [38]

Answer:

{4}^{3}

Step-by-step explanation:

your are taking 4 and multiplying it by itself three times hence 4 to the third power

3 0
3 years ago
Read 2 more answers
If a 25 in. by 32 in. picture has a wooden frame "x" in. wide surrounding it, which equation can be used to find the total area
djyliett [7]
The frame is at each side of the picture so the area is (25 + 2x) times (32 +2x), (which multiplies out to 4x^2 + 114x + 800 square inches). ie if the frame <span>is an inch and a half wide then the area is 28 x 35 sq ins, ie 980 sq ins.</span>
6 0
3 years ago
Read 2 more answers
In a recent golf match, Desmond’s score was 3 less than George’s score. Their combined scores totaled 187. Let d represent Desmo
slavikrds [6]
It is C. George - Desmond is Desmond's score. And after you get their scores, you add them up to find the total. 

4 0
2 years ago
Anybody know how to do lowest terms and can teach me how to get the answer to lowest terms questions?
Rzqust [24]

Answer:

Step-by-step explanation:

6/9+x=7/10

x=7/10-6/9

when adding fractions both denominators must be equal, we’ll make them 90

x=(7/10)(9/9)-(6/9)(10/10)

x=63/90-60/90

x=3/90, the greatest divisor of 3 and 90 is 3 so divide both the numerator and denominator by 3

x=(3/3)/(90/3)

x=1/30

4 0
2 years ago
A rectangular garden has length and width as given by the expressions below.
anyanavicka [17]

Answer:

(8 - 42x - 56y -12xy) is you're answer.

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • Maple grove wants to include two types of maple trees, the namesake of the city for their parks. Two varieties of maple trees ha
    11·1 answer
  • (2x + 3)(x + 5)<br><br> Plz help <br> Thanks
    5·1 answer
  • Can someone pleasee help me with the last 4 (5-8)
    7·1 answer
  • (False Converses) Write down the converse of each conditional statement about the integers. Then give a reason why the converse
    15·1 answer
  • Mean rent is $820 with standard deviation of $217. Johns rent is $1325. How much higher would johns rent have to be to be consid
    7·1 answer
  • Find the value of x.<br> .<br> 10<br> 7
    13·2 answers
  • Find the values of a and b so that the linear system has the given solution.
    10·1 answer
  • Nevaeh is a high school basketball player. How many points would Nevaeh score in a game if she made 2 free throws (worth one poi
    7·2 answers
  • If 11A=180 then prove that secA×sec2A×sec3A×sec4A×sec5A<br>=32.​
    5·1 answer
  • Pleasee helppp meee i’ll give 14 points! :)
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!