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
Ratling [72]
3 years ago
6

A number consist of 2 digits whose sum is 8, If 8 is subtracted from the number, the digits interchange their place. The number

is​
Mathematics
2 answers:
Novay_Z [31]3 years ago
8 0

Step-by-step explanation:

Let's say the two digit number is 10x + y, where x is the first digit and y is the second digit.

The sum of the digits is 8:

x + y = 8

If 8 is subtracted from the number, the digits switch place.

10x + y − 8 = 10y + x

Simplify the second equation:

9x − 8 = 9y

Substitute from the first equation.

y = 8 − x

9x − 8 = 9 (8 − x)

9x − 8 = 72 − 9x

18x = 80

x = 4.444

There's a problem.  x isn't an integer.  Are you sure you copied the problem correctly?  Perhaps you meant if 18 is subtracted from the number, the digits switch place.

9x − 18 = 9 (8 − x)

9x − 18 = 72 − 9x

18x = 90

x = 5

y = 8 − x

y = 3

So the number is 53.

ratelena [41]3 years ago
4 0

x+y=8\\10x+y-8=10y+x\\\\x+y=8|\cdot9\\9x-9y=8\\\\9x+9y=72\\\underline{9x-9y=8}\\18x=80\\x=\dfrac{80}{18}=\dfrac{40}{9}

x is not integer, so there must be a mistake in the problem.

You might be interested in
Jackie won tickets playing the bowling game at the local arcade. The first time, she won 60 tickets. The second time, she won a
Fynjy0 [20]

Answer: i'm pretty sure she got 35 the second time. hope this helps

4 0
3 years ago
Jina borrowed $200 from a lender that charged simple interest at an annual rate of 3% When jina paid off the loan, she paid $30
alisha [4.7K]

Answer:

ioaamwosoajwoqjwjaowoiqjqioaiwjqq

4 0
2 years ago
480/X - 8 - 480/x = 3
Nataliya [291]

Answer:

i don't know its ans thank you

7 0
2 years ago
Read 2 more answers
There are 56 trees in an apple orchard. They are arranged in equal rows. There are 8 trees in each row. How many rows of apple t
Amiraneli [1.4K]
56 ÷8=7





Hope it helped
8 0
3 years ago
Read 2 more answers
Please help I do not get
katen-ka-za [31]

Answer:

(a) 51%

(b) 41%

Step-by-step explanation:

We can simplify this problem down by realizing that the amount of girls over 200 will get us our percentage as a decimal.

Looking at this table, we can see that 30+72=102 girls were asked. So, 102\div200=0.51, and 0.51\cdot100=51.

We can also see that 30+52=82 people preferred video games, so 82\div200=0.41, and 0.41\cdot100=41.

Hope this helped!

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the completely factored form of the expression 16x2 + 8x + 32?
    17·1 answer
  • How to find length in quadratic equation of right angle triangle?
    9·1 answer
  • NS SECTION ONE<br>In the number 416.98, which digit has the greatest value ​
    7·1 answer
  • Refer to the number line given. List two situations or problems for which you have used a number line in the past.
    9·1 answer
  • Given f(x) = -2x +12, find f(-3).​
    10·1 answer
  • You are dealt one card from a standard 52 card deck find the probability of being dealt greater then 5 and less then 9
    13·2 answers
  • Quadrilateral abcd is inscribed in a circle choose a statement for each step in the proof that proves ABCD is a square
    12·1 answer
  • Untitled Question *
    9·1 answer
  • Steve drew a coordinate grid on a map of his town, with his house at the origin. His school is located 2 units above his house o
    5·1 answer
  • Look at picture ! Determine the number of sides for the 6th shape in this pattern.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!