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
nata0808 [166]
3 years ago
7

When the digits of two-digit, positive integer M are reversed, the result is the two-digit, positive integer N. If M > N, wha

t is the value of M
Mathematics
1 answer:
hammer [34]3 years ago
6 0

Answer:

The value of M is 91.

Step-by-step explanation:

Suppose T represents the tens digit and U represents the units digit.

Then the numbers M and N are:

M = 10T + U

N = 10U + T

Compute the value of M - N as follows:

M - N = 10T + U - 10U - T = 9T - 9U = 9 (T - U)

Given:

M > N

⇒ T - U > 0

⇒ T > U

Also, M - N is a multiple of 9.

Since M - N is a two-digit number, the possible values of M - N are:

18, 27, 36, 45, 54, 63, and 72

The values 81, 90 and 99 would not be considered since:

9 × 9 = 81

9 × 10 = 90

9 × 11 = 99

T - U = 9 (T - U) = 9 , 10 or 11 respectively and the largest difference for T − U we can get is 9 - 0 = 9 - 0 = 9.

Even this would result in N = 9, which is not a 2-digit number.

It is provided that the integer (M - N) has 12  factors.

Of the possible values of M - N the integer with 12 factors is 72.

The factors of 72 are:

1×72

2×36

3×24

4×18

6×12

8×9

So, M - N = 72.

⇒ M - N = 9 (T - U)

        72 = 9 × 8

⇒ T - U = 8

And since T > U, the values of T and U are:

T = 9 and U = 1

We cannot use T - U = 8 - 0 = 8, because then N will be not a two-digit number.

So, M = 91 and N = 19 and their difference is 72.

Thus, the value of M is 91.

You might be interested in
Solve for the missing side. Round to the nearest tenth.<br> 10<br> 50°<br> х
s344n2d4d5 [400]

Answer:

15.6

Step-by-step explanation:

8 0
3 years ago
Which answers are examples of inductive reasoning?
Svetach [21]
I think its B.

Thanks is welcomed.
4 0
3 years ago
Read 2 more answers
Find the 50th term for the sequence 31,24, 17
Nikitich [7]

9514 1404 393

Answer:

  -312

Step-by-step explanation:

The general term of an arithmetic sequence is ...

  an = a1 +d(n -1)

Here, you have first term a1 = 31, and common difference d = 24-31 = -7. So, the 50th term is ...

  a50 = 31 -7(50 -1) = 31 -7(49) = -312

The 50th term for the sequence is -312.

6 0
3 years ago
HELP PLEASE!! is math 20 points
snow_lady [41]

Answer:

  • 0x = 0y

0

  • 0x = 2y

x = 2y/0 = 0

  • 2x = 2y

x = 2y/2 = y

  • 4x = 3y

x = 3y/4

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

7 0
3 years ago
Does anyone know the answer to this one as well?
kolbaska11 [484]

Answer:

i think its 8000 and the 3rd one

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify:<br> 6x-7-11x+x<br><br> show all work if possible
    14·1 answer
  • What is 1054.2 divided by 1.5
    11·1 answer
  • The ice cream Palace received 3 gallons of strawberry ice cream, 5 pints of mocha ice cream, and 1 quart of vanilla ice cream to
    7·1 answer
  • Please and show work
    5·2 answers
  • Solution of x² + 8x + 12 = 0?
    9·2 answers
  • Translate the sentence into an inequality.
    6·2 answers
  • Help with this one!!!<br><br><br> Show steps pls :)
    6·2 answers
  • In the translation T of the graph below, use the figure to describe the following transformation. T T-1: (x, y) ( x, y) ( x + 3,
    7·1 answer
  • 3+(-7)<br> solve for x help meee
    6·1 answer
  • Could someone help me please
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!