All categories

3 years ago

The sum of two numbers is 22 and their difference is 12 what are the numbers

Mathematics

1 answer:

nlexa [21]3 years ago

8 0

Answer:

The numbers are 17 and 5

Step-by-step explanation:

x + y = 22

x - y = 12

Add y to both sides of the equation

x = 12 + y

Substitute new value for x into first equation

12 + y + y = 22

Add the y's

12 + 2y = 22

Subtract 12 from both sides

2y = 10

y = 5

22 - 5 = 17

The numbers are 17 and 5

Hope this helps :)

You might be interested in

Is the following statement correct? Explain.

Maksim231197 [3]

Answer: The answer is NO.

Step-by-step explanation: The given statement is -

If the graph of two equations are coincident lines, then that system of equations will have no solution.

We are to check whether the above statement is correct or not.

Any two equations having graphs as coincident lines are of the form -

$ax+by=c,\\\\dax+dby=dc,\\\\\textup{where}~~d\neq 1.$

If we take d = 1, then both the equations will be same.

Now, subtracting the second equation from first, we have

$a(1-d)x+b(1-d)y=c(1-d)\\\\\Rightarrow ax+by=c,~\textup{since}~d\neq 1,~\textup{so}~1-d\neq 0.$

Again, we will get the first equation, which is linear in two unknown variables. So, the system will have infinite number of solutions, which consists of the points lying on the line.

For example, see the attached figure, the graphs of following two equations is drawn and they are coincident. Also, the result is again the same straight line which has infinite number of points on it. These points makes the solution for the following system.

$2x+5y=10,\\\\6x+15y=30.$

Thus, the given statement is not correct.

4 0

3 years ago

What does B.O.D.M.A.S. or B.E.D.M.A.S. mean?

kakasveta [241]

B E D M A S MEANS BRACKETS EXPONENTS DIVISION MULTIPLICATION ADDITION AND SUBTRACTION

8 0

3 years ago

Read 2 more answers

URGENT TEST I HAVE!!!!

Lerok [7]

Answer:

I think they are asking the area of the triangle so we are going with that.

Step-by-step explanation:

Easiest way to do this is find the area of the incomplete square, and then cut that in half for the triangle.

so it is 4 cm wide

and 8 cm tall

length x width = area

8 x 4 = 32

32/2 = 16

So your answer should be 16 cm

6 0

3 years ago

A cylinder has a radius of 7 cm and a height of 12 cm what is the surface area

xxTIMURxx [149]

Surface Area of Cylinder = 2πrh.

Radius, r = 7 cm, height = 12 cm.

Surface Area = 2*π*7* 12 = 168π cm²

π ≈ 3.14159

168π = 168*3.14159

Surface Area ≈ 527.79 cm²

3 0

3 years ago

how do i write and expression for the calculation triple 4 and then add seven times seven Please Somebody Help Me

PilotLPTM [1.2K]

I’m assuming “triple 4” is just 3 times 4.
Using the information from the problem, we can form an equation that reads,
3*4 + 7*7

Solve:
12 + 49 = 61

The answer is 61

5 0

2 years ago