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
gregori [183]
3 years ago
12

The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori

ginal number but in reverse order. Find the original number.
Mathematics
1 answer:
Aliun [14]3 years ago
7 0

Answer:

46

Step-by-step explanation:

Let (ab) represent a number with a in the ten's position and b is the one's position.

This means (ab) actually has value of 10a+b.

We are given the sum of those digits of (ab) is 10; this means a+b=10.

It says if 18 is added to the number (ab), then the result is (ba).

So (ab) has value 10a+b and

(ba) has value 10b+a.

We are given then:

(ab)+18=(ba)

10a+b+18=10b+a

Subtract 10a on both sides:

b+18=10b+a-10a

Simplify:

b+18=10b-9a

Subtract b on both sides:

18=10b-b-9a

18=9b-9a

Divide both sides by 9:

2=b-a

Rearrange by commutative property:

2=-a+b

So the system of equations we want to solve is:

a+b=10

-a+b=2

-------------------------Add equations together (this will eliminate the variable a and allow you to go ahead and solve for b:

0+2b=12

2b=12

Divide both sides by 2:

b=\frac{12}{2}

Simplify:

b=6

If b=6 and a+b=10, then a=4.  a=4 since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

You might be interested in
What is 2 1/4 equal to
Crazy boy [7]

Answer:

2.25

Step-by-step explanation:

divide

5 0
3 years ago
Read 2 more answers
Cash Orcheck had a balance of $867 in his checking account on
Nadya [2.5K]

Answer:

Well since he wrote the amount, he’s technically giving cash away so you basically jsut add everything.

98+456+29+381= 964

867-964= -97

His final balance would be -97

Here’s the thing, a checking account acts like a debit card. Its your own cold hard cash. That means you can’t give away more then you have.

So here are the two options

1) At least one or at most 2 checks must’ve bounced

2) He got more money in his checking account

8 0
3 years ago
Graph the linear equation y=×/3-4
shepuryov [24]
I think so that graph will help you...................................

5 0
3 years ago
What is the x-intercept? Please help
lesya692 [45]

Answer:

x is left to right y is up and down !!

Step-by-step explanation:

x is left to right y is up and down !! x would be (0,-1) and (0,-3)

7 0
3 years ago
In a triangle the sides has 82 degrees ,2x+10 degrees and x degrees what is x
yaroslaw [1]

Answer:

x = 29 1/3 degrees

Step-by-step explanation:

A triangle has 3 angle that total 180 degrees.

The three angles given are 82 degrees ,2x+10 degrees and x degrees.

So,  

82+ (2x+10) + x = 180

Combine like terms.

92 + 3x = 180

Subtract 92 from each side

3x = 180 -92

3x = 88

divide each side by 3

3x/3 = 88/3

Change 88/ 3 to a mixed number

3 goes in to 88 29 times  with 1 left over.

x = 29 1/3 degrees


4 0
3 years ago
Other questions:
  • on our way to visit her parents Jennifer Drive 265 miles in 5 hours what is the average rate of speed in miles per hou
    9·1 answer
  • What is the sign of a^72*(-3/7) when a is a negative number
    10·1 answer
  • Help ! Easy 7th grade work ! I’ll give brainliest!
    6·1 answer
  • 6. How do u find the answer? I know the answer ( it's 208) but how u get it
    14·2 answers
  • A basketball player scored 351 points last year. If the player plays 18 games this year, how many points will he need to average
    8·1 answer
  • The endpoints of a segment are (–5, –3) and (0, 2). What are the endpoints of the segment after it has been translated 4 units u
    7·2 answers
  • For each model below write the portion of the grid that is shaded as a percent and as a fraction. EXPLAIN.
    11·1 answer
  • Marbleslides: Lines
    11·1 answer
  • Find the height of a parallelogram with a base 24 inches and the area of 432 square inches
    6·1 answer
  • Identify an equation in slope intercept form for the line parallel to y=-3x+7
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!