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
alina1380 [7]
3 years ago
11

The sum of the digits of a two-digit number is 5. When the digits are reversed, the number increases by 27. Find the original nu

mber. The original number is
Mathematics
1 answer:
gavmur [86]3 years ago
3 0

Answer:

<h2>14</h2>

Step-by-step explanation:

a-\text{tens digit}\\b-\text{unity digit}\\10a+b-\text{number}\\10b+a-\text{number with reversed digits}\\a+b-\text{sum of digits}\\\\\bold{System\ of\ equations:}\\\\\left\{\begin{array}{ccc}a+b=5\\10b+a=10a+b+27&\text{subtract}\ 10a\ \text{and}\ b\ \text{from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}a+b=5\\9b-9a=27&\text{divide both sides by 9}\end{array}\right

\underline{+\left\{\begin{array}{ccc}a+b=5\\b-a=3\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2b=8\qquad\text{divide both sides by 2}\\.\qquad \boxed{b=4}\\\\\text{Put the value of\ b}\ \text{to the first equation}\\\\a+4=5\qquad\text{subtract 4 from both sides}\\\boxed{a=1}

You might be interested in
The quotient of w and 10 is equal to 7
Verdich [7]

Answer:

8

Step-by-step explanation:

6 0
3 years ago
Four more than the quotient of a number and 3 is at least 9
Natali [406]
The correct answer is 15

 <span>4 + (x/3) = 9 </span>

<span>(x/3) = 9 - 4 </span>

<span>(x/3) = 5 </span>

<span>x = 15 </span>
7 0
2 years ago
What does the word oof mean
Musya8 [376]

Answer:

its like a different word in modern days like "oh my god" or "that's tough"

Sorry if my answer was bad.

7 0
2 years ago
Read 2 more answers
2 x 1/3 = ? AAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAa
loris [4]

Answer:

0.66666666666

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A rectangle has a perimeter of 53 feet and a base of 7.1 feet. What is the height?
enot [183]

Answer:

19.4

Step-by-step explanation:

Perimeter = 53 feet

P = 2L + 2H

L = 7.1 feet

2L + 2W = 53 feet

2*7.1 + 2w = 53

14.2 + 2w = 53

2W = 53 - 14.2

2W = 38.8

W = 38.8/2

W = 19.4

H = 19.4

7 0
2 years ago
Other questions:
  • If there are 6 air conditioners in each require 8 pounds of refrigeration how many pounds of refrigeration are needed to fill al
    6·1 answer
  • One number is 1/2 as much as the other. Their sum is 54. What are the two numbers
    12·1 answer
  • The line represented by the equation 3x + 5y = 2 has a slope of -3/5 the look of the graph
    7·1 answer
  • Find the average rate of change of f(x) = 1x + 6 on [4,9). Round your answer to the nearest hundredth.
    15·1 answer
  • Scientific notation of 0.0000000915
    12·2 answers
  • What is the end behavior of the function f(x)=-3/4 x^2​
    7·1 answer
  • The X- and y-coordinates of point P are each to be chosen at random from the set of integers 1 through 10.
    14·1 answer
  • Someone please help me with this ​
    7·1 answer
  • Find the diameter of the object. 6 cm
    10·2 answers
  • Find the vertex of the function h(x) = x2 – 4x – 21
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!