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
Illusion [34]
3 years ago
9

The sum of the digits of a two-digit number is 8. If the digits are interchanged ,new number is 10 more than double the original

number. Find the original number.
pls help me I want ans with full process​
Mathematics
1 answer:
vova2212 [387]3 years ago
6 0

Answer:

Original number 26.

Step-by-step explanation:

xy - two-digit number

1) x + y = 8

2) Original two-digit number can be written as

10*x + y

3) If the digits interchanged yx,

then the new number can be written as

10*y + x

4)  Double the original number is

2*(10*x + y)

5) New number is 10 more than double the original number

(10*y + x) - (2*(10*x + y)) = 10

6) Now we have the system of 2 equations:

x + y = 8

(10*y + x) - (2*(10*x + y)) = 10 -----> 10y + x - (20x + 2y) = 10 ---> 8y - 19x = 10

x = 8 - y

8y - 19(8 - y) = 10

8y - 152 +19y = 10

27y = 162

y = 6

x = 8 - y = 8 - 6 = 2

x = 2

So, x =2, y = 6.

Original number 26.

Check:

Original number 26.

New number 62.

Double of the original number = 2*26= 52.

New number is 10 more than double the original number :

62 - 52 = 10 True

You might be interested in
Samantha is wrapping a present for her friend's birthday. The length of the box is 12 inches, width is 7 inches, and the height
loris [4]

Answer:

358 inches^2

Step-by-step explanation:

SA = 2(lw + lh + wh)

SA = 2 (12*7 + 12*5 + 7*5)

SA = 358

Hope this is helpful !!!!!

4 0
3 years ago
Find the inverse of each relation<br><br> (-3,-7) (0,-1) (5,9) (7,13)
masha68 [24]
(-7,-3) (-1,0) (9,5) and (13,7)
8 0
3 years ago
The function h(x) is quadratic and h(3) = h(–10) = 0. Which could represent h(x)?
Lyrx [107]
I hope this helps you

6 0
3 years ago
Read 2 more answers
Select all the correct answers.
geniusboy [140]
<span>Rectangular Prism Volume = length × width × height
</span>
So 4 of those could make the prism:
<span>2 units, 3 units, 6 units
36 units, 1 unit, 1 unit
9 units, 2 units, 2 units
12 units, 3 units, 1 unit
</span>


<span />




7 0
3 years ago
Read 2 more answers
Find the x-intercept of 4x−2y=8
Katyanochek1 [597]

Answer:

(2,0)

Step-by-step explanation:

6 0
3 years ago
Other questions:
  • A die will be rolled some number of times and the object is to guess the total number of spots. There is a one-dollar penalty fo
    15·1 answer
  • Triniti had $500 in a savings account at the beginning of the summer. She withdraws $25 each week for food, clothes, and movie t
    8·1 answer
  • Can someone please help?
    7·2 answers
  • What is .52,57% and 2/5 from least to greatest
    14·1 answer
  • During a game, the pittsburgh steelers converted 6 of 10 fourths downs into first downs. With only minutes left in the game, it
    11·1 answer
  • PLS HELP DUE tonight
    15·1 answer
  • What is 5(6\36+12-3)?<br> (No answer choice)
    8·1 answer
  • Small metal parts each measure to 3/16
    11·1 answer
  • Please help me with this math problem!! NO LINKS PLEASE!! Will give brainliest if correct!! :)
    10·1 answer
  • Is (2, 2) a solution of the inequality y ≤ 3x - 5?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!