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
Amiraneli [1.4K]
3 years ago
14

The sum of the digits of a two-digit number is 12. The number formed by reversing the digits is 54 more than the original number

. What is the original number?
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
7 0

Answer:

39

Step-by-step explanation:

let the 2 digit number be ab = 10a + b ( considering place value )

The reversed  2 digit number is ba = 10b + a

The sum of the 2 digit number is

a + b = 12 ( subtract b from both sides )

a = 12 - b → (1)

Expressing as an equation

ba = ab + 54 , that is

10b + a = 10a + b + 54

Substitute a = 12 - b into the equation

10b + 12 - b = 10(12 - b) + b + 54 , simplify both sides

9b + 12 = 120 - 10b + b + 54

9b + 12 = - 9b + 174 ( add 9b to both sides )

18b + 12 = 174 ( subtract 12 from both sides )

18b = 162 ( divide both sides by 18 )

b = 9

Substitute b = 9 into (1)

a = 12 - 9 = 3

Thus

the original 2 digit number = ab = 39

The reversed 2 digit number = ba = 93

which is 54 more than the original number

You might be interested in
tim earns $150/week plus $15.00 for each desk he assembles. Write an inequality to represent how many desks he needs assemble to
Gennadij [26K]

x = number of desks needed to make

equation:  150 +15.50x >= 400


solution:

150 +15.50x >=400

15.50x = 250

x = 250/15.50 = 16.129

he needs to assemble 17 desks

15.50*17 = 263.50 +150 = $413.50


3 0
3 years ago
Y= 2x + 6 for x = 0,1,2,3,4
algol [13]

x=0    y=6

x=1     y=8

x=2    y=10

x=3    y=12

x=4    y=14

8 0
2 years ago
Kamil has 72 baseball cards. He wants to put the cards
mars1129 [50]
You would use 72/9 , ( division ).
6 0
2 years ago
I need help with this question
julia-pushkina [17]

Answer:

I think its D

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Part A
Vilka [71]

Answer:

answer is c

Step-by-step explanation:

oranges in Paris are three cups and grapes and apples are about two cups. (1 11/12 cups to be exact)

the exact amount of five portions of fruit salad and fraction form is 59 / 60

7 0
2 years ago
Other questions:
  • What does it mean for an equation to have no solution or infinite solutions? How does the equation appear when those are the out
    13·1 answer
  • Explain how you know the values of the digitsin the number 58
    11·1 answer
  • HSDhDfhDhDcgjdjdjzffnzfggnDdt
    15·1 answer
  • Hey guys if i can get some pointers on how to do this that would be great ive been stuck on this problem for over an hour my not
    8·1 answer
  • C) - 6 X-3 = ?<br> What is the answer?
    9·2 answers
  • There are less than 200 apples in a box. It is known that 2, 3, 4, 5, or 6 kids can share these apples evenly. How many apples c
    10·2 answers
  • There is a bag with only red marbles and blue marbles.
    10·1 answer
  • You throw a ball into the air from a height of 5.5 feet with an
    13·1 answer
  • What is the solution to the equation: 37x=9x+4
    13·2 answers
  • I will give branlyest
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!