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
AVprozaik [17]
3 years ago
10

The sum of the digits of a certain two-digit number is 9. When you reverse its digits you increase the number by 63. What is the

number?
Mathematics
1 answer:
DENIUS [597]3 years ago
6 0

2-digit number is 18

Step-by-step explanation:

Let x= ten's digit and

y= one's digit

The sum of two digits is 9

so, x+y = 9

When you reverse its digits you increase the number by 63.

10y+x=10x+y+63

10y-y+x-10x=63

9y-9x=63

So, we have two equations:

x+y = 9\,\,and\,\,9y-9x=63

Solving these equations to find value of x and y:

Let:

x+y = 9\,\,\,eq(1)\\9y-9x=63\,\,\,eq(2)

Multiply eq(1) by 9 and add both equations:

9x+9y = 81\,\,\,\\-9x+9y=63\\--------\\18y=144\\y=144/18\\y=8

So, value of y=8

Now, finding value of x:

Putting value of y in eq(1)

x+y=9\\x+8=9\\x=9-8\\x=1

So, value of x=1

The value of x is 1 and value of y = 8

So, 2-digit number is 18

Keywords: Word problems

Learn more about Word Problems at:

  • brainly.com/question/1774450
  • brainly.com/question/547255
  • brainly.com/question/558692

#learnwithBrainly

You might be interested in
Is this right? I’m currently taking an assessment and I need to make sure I am right.
Leto [7]
Correct good job that seem correct
3 0
3 years ago
Read 2 more answers
A group of randomly selected Throne County citizens were asked to pick their favorite genre of music. The table below shows the
Lubov Fominskaja [6]

Answer:

953

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What’s the answer to -x= -14 How do you do it?
denis23 [38]

Step-by-step explanation:

multiply both sides by -1

x = 14

5 0
3 years ago
Hi...I am taking pre calculus and I'm reallyo lost here..can someone help me?
Karolina [17]
1. Log7 (49)=2
2. Log63(216)=3
3. Log2 (256)=8
4. Log4 (64)= 3
5. Log5 (3125)=5
3 0
3 years ago
Graph the inequality Y> |x-7| +1
Alexus [3.1K]
Bcbcbcbcbcbcbcbcbcbcbcbcbcbc
7 0
3 years ago
Other questions:
  • Point A is the incenter of ΔDEF. What is the length of NA?
    14·2 answers
  • Jackson bought 3 pounds of candies for $9.75.
    5·1 answer
  • Please solve for x on numbers 14-18!!
    15·1 answer
  • Which of the following is the sine ratio
    7·2 answers
  • I need help on the Wednesday column, question 1, letter b.
    14·2 answers
  • If F(x)=9x which of the following is the inverse of F(x)
    15·2 answers
  • Which line on the graph represents the information in the table?
    6·2 answers
  • The perimeter of a triangle is 80. side one is four times side two. side three is ten less than side one. what are the 3 sides
    6·1 answer
  • If the m = and the b = -2. then the linear equation is:
    14·1 answer
  • PLS ANSWER PLS IM DESPRATE WILL MARK BRAINLIEST 18 POINTS
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!