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
solong [7]
3 years ago
13

When 5655 is divided by a positive two digit intreger "N" the remainder is 11, when 5879 is divided by the same intreger N the r

emainder is 11.
What is the sum of the digits of N ?
Mathematics
1 answer:
Temka [501]3 years ago
8 0

Answer:

8

Step-by-step explanation:

Hi,

When we divide 5655 by N, we get remainder of 11, which means that 5655-11 is a multiple of N.

5655 - 11 = 5644 is a multiple of N.

Similarly, 5879-14 should be a multiple of N.

5879 - 14 = 5865 is a multiple of N.

Because 5644 and 5865 are both multiples of N, their difference must be a multiple of N.

5865 − 5644 = 221 then 221 is a multiple of N.

We have three number of which N can be a multiple of, however we choose to factorize the smallest possible number amongst these three, which is 221. (This is only for simplification of the solution, smaller the number, less the factors)

221 : 1, 13, 17, 221.

There are only two two - digit factors: 13 and 17.

We divide 5865 and 5644 by both numbers.

\frac{5865}{13} = 451.15 \\\frac{5865}{17} = 345 \\\frac{5644}{13} = 434.15 \\\frac{5644}{17} = 332\\

Looking at these results, we know only 17 divides all three numbers.

Hence N=17.

The sum of both digits will be: 1 + 7 = 8

You might be interested in
How to convert 45% into a fraction
JulsSmile [24]

Answer:

\frac{9}{20}

Step-by-step explanation:

Per cent means ' out of a hundred' , thus

45% = \frac{45}{100} ← divide ( cancel) both 45 and 100 by 5

45% = \frac{9}{20} ← in simplest form

8 0
3 years ago
Six times the sum of a number and seven is 30. Find the number.
Sedaia [141]

Answer:

x = -2

Step-by-step explanation:

6(x+7)=30

6x+42=30

6x=-12

x=-2

3 0
3 years ago
Read 2 more answers
PLZZ HELP?
andreyandreev [35.5K]
The answer is 45 because it has to be multipled etc
6 0
2 years ago
Read 2 more answers
Can someone please help?
Sonja [21]

Answer:y=2x-5

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
150.60 divided by 5/6 is ?
Lunna [17]
150.60 divided by 5/6 is 180.72.
7 0
3 years ago
Other questions:
  • Original price: $89.00; Markdown: 33%
    11·2 answers
  • Luis makes $23.10 per hour at his job for the first 40 hours he works each week. if he works more than 40 hours, then luis makes
    9·2 answers
  • Initially a pool contains 350 gallons of water. A hose is placed in the pool and the water is turned on. The hose adds 5.2 gallo
    15·1 answer
  • Janelle earned 90% on a test and got 63 points were possible on the test?
    11·1 answer
  • A few years ago, the Colorado Rockies played 160 games and won 64. for every two games they won, how many games did they lose?
    7·2 answers
  • The bag contained only red marbles and white marbles. If the ratio of red marbles to white marbles was 5 to 4, what fraction of
    8·2 answers
  • Can someone please help me with number 2? It would be greatly appreciated
    15·1 answer
  • How many of the numbers from 10 through 98 have the sum of their digits equal to a perfect​ square?
    11·1 answer
  • A hotel had a number of meeting rooms, m, available for events. Each meeting room has 325 chairs.
    11·2 answers
  • YOU WILL GET 50 OR 100 POINTS TO THE FIRST PERSON TO ANWSER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!What number makes t
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!