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
gtnhenbr [62]
4 years ago
10

The sum of two numbers is 43 and the difference is 15. What is the larger and smaller numbers?

Mathematics
1 answer:
rodikova [14]4 years ago
3 0
The answer to a "sum and difference" problem is that the larger number is the average of those given: (43 +15)/2 = 29.

The smaller number can be computed any of several ways, but subtracting the difference works: 29 -15 = 14

The larger number is 29.
The smaller number is 14.

_____
You can let the numbers be a and b, and let the sum and difference be s and d. Then you have
.. a + b = s
.. a - b = d
Add these two equations, and you find "b" is eliminated:
.. 2a = s + d

.. a = (s + d)/2 . . . . . . the average of the sum and difference
.. b = a - d . . . . . . . . . from the second equation

This solution is generic. Even if you have to "show work" on such a problem, you can use this known result to check your work.
You might be interested in
A factory wants to fill a conical storage tank with sand. The tank has a height of 19.5 meters and a diameter of 30.7 meters
taurus [48]

9514 1404 393

Answer:

  4,811.49 m³

Step-by-step explanation:

The volume of a cone is computed using the formula ...

  V = (1/3)πr²h

Using the given numbers, we find the volume to be ...

  V = (1/3)π(15.35 m)²(19.5 m) = 1531.54625π m³ ≈ 4,811.49 m³

_____

<em>Additional comment</em>

If you inappropriately use 3.14 for π, you get a volume of 4809.06 m³. That 3-digit value is inappropriate because a value accurate to 6 significant figures or more is needed to support an answer accurate to 6 significant figures.

8 0
3 years ago
Jada can read 3/5 of a book in 1/4 of an hour. How long would it take her to read one whole
BaLLatris [955]

Answer:

25 Minutes

Step-by-step explanation:

Well, 1/4 of an hour is obviously 15 minutes. So if she read 3/5 of the book in 15 minutes, you have to find how long it took her to read 1/5 of the book. If 15 minutes is 3/5, then 15/3 is 5, which is the time it took to read 1/5 of the book. You add 10 to 15 and you get 25. I hope this helps!

4 0
3 years ago
Which equation has 4 as a possible value of y? ^2=8 y^3=8 y^2=16 y^3=16
zepelin [54]
The Y^2 because 4 to the power of 2 would give you 4x4 which gives you 16
4 0
3 years ago
Find the actual number of the faces, edges, and vertices of a cube?
tankabanditka [31]
6 faces, 12 edges, and 8 vertices
8 0
4 years ago
Read 2 more answers
What is the probability of getting 60% or better on a true false exam with 50 questions
Ipatiy [6.2K]

Answer:

41.1764...%

Step-by-step explanation:

60% on 50 questions is 30/50 correct since 30÷50=.6=60%

Between 30 and 50(inclusive) there are 21 numbers.(30,31,32...49,50).

There are 51 possibilities of scores,1-50/50 or 0/50

21/51=0.411764...

3 0
4 years ago
Other questions:
  • What is the area of a square with lengths of 7 inches
    14·2 answers
  • Jacob wants to know the average rate of change of the cars elevation with the respect to time over the time interval [5,7] use t
    6·1 answer
  • Use compatible numbers to estimate quotient 2000 divided by 7
    10·1 answer
  • The final step of completing a “solve by substitution” problem is to
    13·1 answer
  • Missy uses 1 hexagonal, 3 rectangular, and 6 triangular pieces of fabric to make 1 bug design for a quilt. If she uses 100 piece
    7·1 answer
  • 1. A hot bowl of soup is served at a dinner party. It starts to cool according to Newton's Law
    12·1 answer
  • - 7th Grade Work -<br><br> Please answer if it's either a, b, c, or d<br><br> Please help ; - ;
    15·2 answers
  • 2/3 x 4/5? or any other way of solving this
    8·1 answer
  • The volume of a right cone is 264 π units. if its circumference measures 12 π units, find its height
    14·1 answer
  • Enzymatic browning, the darkening of cut fruit when exposed to the air, can be lessened by
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!