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
kondaur [170]
3 years ago
9

The sum of the digits of a two-digit number is 14. If the number formed by reversing the digits is less than the original number

by 18. Find the original numbers.
Mathematics
1 answer:
aivan3 [116]3 years ago
5 0

Answer: Dear friend my answer for this question is 86.

Step-by-step explanation:Let the two digits of two digit number be, 10s digit x and 1s digit y.

x + y = 14

x = 14 - y…..Eq..1

The nuber formed is 10x + y

If the number formed by reversing the digits is 18 less than the original number, what is the original number

On reversing the digit the number will be 10y + x

10y + x + 18 = (10x + y)

10y + x = 10x + y - 18

10y - y + x - 10x = - 18

9y - 9x = -18…Eq..2

Now substituting the value of x from Eq..1 to Eq..2

9y - 9 (14 - y) = - 18

9y - 126 + 9y = - 18

18y = 126 - 18

18y = 108

y = 108/18

y = 6

Thus 1s digit if the number is 6

Substituting the derived value of y in Eq..1 to derive value of x.

x = 14 - y

x = 14 - 6

x = 8

The 10s digit if two digit number is 8.

The original number formed is 86.

On reversing the digits, the number transform to 68, which is 18 less than original number

Answer the original number is 86.

You might be interested in
Graph the linear equations (with all steps shown); <br>4y - 3x = 11 and 2y + 3x = 31 ​
azamat

Answer:

Step-by-step explanation:

i put this in a desmos graphing calculator

4 0
2 years ago
The distance from the green point on the parabola to the parabolas focus is 11. What is the distance from green point to the dir
Lina20 [59]

Answer:

answer 11

Step-by-step explanation:

I think it the right answer

4 0
3 years ago
Cedric and Insha solved the same equation using the calculations below.
Mariulka [41]

The first working out is correct, z = 3

3 0
3 years ago
An electrician paid $398.40 total for 1,000 feet of wire.How much does he have to pay per foot a wire?
alexdok [17]

Divide the total spent by the total feet:

$398.40 / 1000 = 0.3984 per foot.

Round the answer as needed.

8 0
2 years ago
Find the value of x
bearhunter [10]

Answer:

x=66

Step-by-step explanation:

A straight line is equal to 180 degrees so we can make the equation 180=2x-48. After this we can do 180-48=2x then we can do 132/2=x

6 0
3 years ago
Other questions:
  • Help please.. look at the image...
    10·1 answer
  • Please Help &lt;3 Please Help &lt;3
    5·1 answer
  • Anyone know how to do this
    10·1 answer
  • Can someone please help me. Will mark brainlist!
    12·1 answer
  • Vanya collects vintage albums. Each storage unit holds 16 albums. She gave 3 albums to her cousin as a graduation present. Which
    10·1 answer
  • PLEASE HELP!! will give brainliest if correct! Also plz no copied answers!
    15·1 answer
  • Find the volume of the pyramid. Write your answer as a fraction or mixed number.
    11·1 answer
  • Given the arc, name the central angle. <br> FG<br> A. ∠GQJ<br> B. ∠FQG<br> C. ∠GQI<br> D. ∠HQI
    8·1 answer
  • What is the difference between hyperbola and parabola??​
    10·1 answer
  • Write ratios in the form 1:n or n:1 6 : 14
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!