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
Basile [38]
3 years ago
10

The sum of the digits of a two-digit number is 7 .When the digits are interchanged the reversed number is five times the tens di

git of the original number find the original number .
frnds pls help me

I want answer with full process pls help me​
pls frnds do it fast pls help me
Mathematics
1 answer:
Yanka [14]3 years ago
5 0

Answer:

Original number is 52.

Step-by-step explanation:

1) Two digit number xy,

it can be written as 10x + y.

2) The sum of the digits of a two-digit number is 7.

x + y = 7

3) The digits are interchanged the reversed number is yx,

the new number can be written as 10y + x.

4)  The original number is 10x + y, so the tens digit of the original number  is x.

5) Five times the tens digit of the original number is 5*x.

6) The reversed number is five times the tens digit of the original number:

10y + x = 5*x

7) We have system of two equations

x + y = 7  ---->  x = 7 - y

10y + x = 5*x --->   10y - 4x = 0

10y - 4x = 0

10y - 4(7 - y) =0

10y - 28 + 4y = 0

14y = 28

y = 2

x = 7 - y = 7 - 2 = 5

x = 5

Original number is 52.

New number 25.

Check:

Original number is 52, the tens digit is 5.

The reversed number (25) is five times the tens digit of the original number find the original number .

25 = 5*5 True

You might be interested in
Find the slope of the line passing through the points(-3, 7) and (2, -6).
postnew [5]

Answer:

-13/5

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-6-7/2-(-3)

-13/5

Best of Luck!

4 0
2 years ago
you invest $2800 in an account that pays an interest of 5.5%, compounded continuously. calculate the balance of your account aft
LuckyWell [14K]

Hi, hope this helps you. Have a good day. :)

Answer:

A = $5,417.42 (balance of the account)

I = $2,617.42

5 0
3 years ago
Read 2 more answers
By what percentage must the diameter of a circle be increased to increase its area by 50%?
katovenus [111]
The circle increase in area will be by a factor of 1.5
So corresponding increase in the diameter will be a factor of  sqrt 1.5 = 1.2247

Answer is 22.47 %
5 0
3 years ago
Read 2 more answers
13 percent of what is 78
Brums [2.3K]
13% of what is 78

"what" is the unknown, so use x for what.
"of" in math usually means a multiplication.
"is" means "="

13% * x = 78

0.13x = 78

x = 78/0.13

x = 600

Answer: the number is 600
3 0
3 years ago
Read 2 more answers
Which expressions are equivalent to <br> 2r+(t+r)
stepan [7]

Answer:

2r+(t+r)

2r+t+1r

3r+t

8 0
2 years ago
Other questions:
  • can you plz help me with question 9 asp and if you get the answer plz show me how you got it or i will loose points on my homewo
    9·2 answers
  • Nina goes to the neighborhood store to buy 14 rolls of toilet paper. If she spent $20.02 in all for her purchase, how much does
    13·1 answer
  • Explain how you can use a number line to show that 5/8 is greater than 3/8
    12·2 answers
  • What is the standard notation for the distance of 2.4x10^5 miles
    13·1 answer
  • Quick need the answer to to this!
    11·1 answer
  • Suzy's Sculpting gym charges a $10 application fee and $12 per month for membership. Tami's Toning does not charge an applicatio
    10·1 answer
  • Solve<br>1. A cylinder with a radius of 5cm and a height of 6.8cm.​
    15·1 answer
  • What is 500 times H88
    7·1 answer
  • 20 points PLEASE HELP IT'S DUE TODAY
    12·1 answer
  • Help ASAP. This is vital to my math grade. I will award 100 points and Brainly to whoever can give me the correct slope. I need
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!