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
Ganezh [65]
3 years ago
14

A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. What is the original number?

Mathematics
2 answers:
spayn [35]3 years ago
8 0

Answer:

37

Step-by-step explanation:

gregori [183]3 years ago
6 0
<h3>Answer: 37</h3>

====================================================

Work Shown:

T = tens digit of the original number

U = units digit of the original number

U+T = 10 since the digits add to 10. Solve for U to get U = 10-T

10T+U = original number

10U+T = new number where digits are reversed

-----------

new number = (old number) + 36

10U+T = (10T+U)+36

10U+T = 10T+U+36

10(10-T)+T = 10T+10-T+36 ... plug in U = 10-T

100-10T+T = 10T+10-T+36

-9T+100 = 9T+46

100-46 = 9T+9T

54 = 18T

18T = 54

T = 54/18

T = 3 is the tens digit of the original number

U = 10-T

U = 10-3

U = 7 is the units digit of the original number

10T+U = 10*3+7 = 30+7 = 37 is the original number

73 is the reversed number.

73-37 = 36 is the difference, showing that 37 increased by 36 leads to 73. The answer is confirmed.

You might be interested in
Find the degree of the polynomial<br> 2x^4y^2+9x^2y^5-3x^4y^4
coldgirl [10]

Answer:

the polynomial has degree 8

Step-by-step explanation:

Recall that the degree of a polynomial is given by the degree of its leading term (the term with largest degree). Recall as well that the degree of a term is the maximum number of variables that appear in it.

So, let's examine each of the terms in the given polynomial, and count the number of variables they contain to find their individual degrees. then pick the one with maximum degree, and that its degree would give the actual degree of the entire polynomial.

1) term  2\,x^4\,y^2  contains four variables "x" and two variables "y", so a total of six. Then its degree is: 6

2) term  9\,x^2\,y^5  contains two variables "x" and five variables "y", so a total of seven. Then its degree is: 7

3) term  -3\,x^4\,y^4  contains four variables "x" and four variables "y", so a total of eight. Then its degree is: 8

This last term is therefore the leading term of the polynomial (the term with largest degree) and the one that gives the degree to the entire polynomial.

8 0
4 years ago
Read 2 more answers
In pauls bicycle shop, 40 bicycles are inspected. If 20 needed new tires and 30 needed gear reports, answer the following: a) wh
Arisa [49]
<span>There are three possibilities. 1. Of the 30 bikes that needed gear repairs, 20 also needed tires. 2. Of the 30 bikes that needed gear repairs, 10 also needed tires. 3. Of the 30 bikes that needed gear repairs, between 10 and 20 also needed tires.</span>
7 0
3 years ago
. Reason Rachel spent $36.32 in the grocery store. She paid the exact amount and used exactly 4 bills and 4 coins. What bills an
Margarita [4]

Answer:

She used a 20, 10, 5, and 1, she also used a quarter, nickel, and 2 pennies

Step-by-step explanation:

6 0
3 years ago
A teacher can grade 30 papers in 6 minutes and 100 papers in 20 minutes what is the rate of change
mr Goodwill [35]

Answer:

70

Step-by-step explanation i subtracted but im not good at math so dont take my word for it

3 0
3 years ago
Math Test Helpppppp!!!!!!!!
soldier1979 [14.2K]
Simple problem:

When simplifying 3(x-6) they subtracted 3 instead of multiplied by 3.
3(x-6) should be 3x-18.
Now when you simplify:
3x-18+4x+12-6x
Which is x -6 =0
Or x =6
3 0
3 years ago
Other questions:
  • A taxi driver makes $24.50 in an hour, but uses $6.75 worth of gas during that time. What will the driver's total earnings for t
    5·1 answer
  • Daniel is enrolling for a test prep class. The expression below represents the hourly charges, including the cost for the materi
    14·2 answers
  • The slopes of vertical lines and horizontal lines are opposite reciprocals
    9·2 answers
  • HELP???
    5·2 answers
  • (2x^3 z^2)^3 / x^3 y^4 z^2 * x^-4 z^3
    10·1 answer
  • Suppose U1 and U2 are i.i.d. Unif(0,1) withU1=0.1 and U2=0.8. Use the "cosine" version of Box-Muller to generate a single Nor(-1
    11·1 answer
  • Due to a sale at Macy's you only have to pay 2/3 of the original price of a blouse. your price AFTER the discount $120. What was
    9·1 answer
  • Help, BRAINLIEST to CORRECT answer!
    15·2 answers
  • Your answer should be in the formp (x) +k/x where p is a polynomial and k is an integer. 5x^2+x+7/x
    6·1 answer
  • Calculate the following limits
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!