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
sergeinik [125]
3 years ago
12

The sum of a two digit number and the number obtained by interchanging the digits is 132. If the two digits differ by 2, find th

e number​
Mathematics
1 answer:
damaskus [11]3 years ago
6 0

Answer:

A two-digit number can be written as:

a*10 + b*1

Where a and b are single-digit numbers, and a ≠ 0.

We know that:

"The sum of a two-digit number and the number obtained by interchanging the digits is 132."

then:

a*10 + b*1 + (b*10 + a*1) = 132

And we also know that the digits differ by 2.

then:

a = b + 2

or

a =  b - 2

So let's solve this:

We start with the equation:

a*10 + b*1 + (b*10 + a*1) = 132

(a*10 + a) + (b*10 + b) = 132

a*11 + b*11 = 132

(a + b)*11 = 132

(a + b) = 132/11 = 12

Then:

a + b = 12

And remember that:

a = b + 2

or

a = b - 2

Then if we select the first one, we get:

a + b = 12

(b + 2) + b = 12

2*b + 2 = 12

2*b = 12 -2 = 10

b = 10/2 = 5

b = 5

then a = b + 2= 5 + 2 = 7

The number is 75.

And if we selected:

a = b - 2, we would get the number 57.

Both are valid solutions because we are changing the order of the digits, so is the same:

75 + 57

than

57 + 75.

You might be interested in
I need help with this TnT
miv72 [106K]

all u are doing is adding them up

4 0
3 years ago
I AM GIVING OUT BRAINLIST
Ede4ka [16]
Tenth place is the answer!! :))
8 0
2 years ago
Read 2 more answers
Question 1
erastova [34]

Based on the above scenario, the sales director conducted  an <u>experiment</u>.

  • Because a treatment  <u>was </u>applied to the sales representatives.

  • The the best statistical study for this situation because the sales director is trying to establish <u>correlation</u>.

<h3>What is an experiment?</h3>

An experiment is known to be a method that is et up with the aim to test a given hypothesis as a component of a scientific method.

In an experiment, there are the two key variables which are the independent and dependent variables. The independent variable is known to be a controlled or it is tested against the dependent variable.

See full question

Part A.

The sales director conducted a.) an experiment b.) a survey c.)an observational study because a treatment a.) was not b.)was applied to the sales representatives.

This is the best statistical study for this situation because the sales director is trying to establish a.) causality b.) correlation.

Learn more about experiment from

brainly.com/question/17274244

5 0
1 year ago
What triangle pairs can be mapped to each other using a single tranlation
shepuryov [24]

Answer: I think Figure 4 is the correct one

Step-by-step explanation:

It is not possible to map the triangle MNP and CDE together using just a single translation in Figure 3. With Figure 4, we can use a translation to map the triangle MNP and the triangle CDE. Accordingly, in the diagram, the triangle MNP and the triangle CDE can be translated to each other.

8 0
2 years ago
In the figure below, segment AC is congruent to segment AB:
stepladder [879]

Answer: A. "Segment AD bisects angle CAB." is the right answer.

Step-by-step explanation:

Given : In ΔABC ,AC≅AB.

⇒∠ACB=∠CBA....(1) (∵ angles opposite to equal sides of a triangle are equal )

Now in ΔACD and ΔABD

AD=AD (common)....(2)

Here we need one more statement to prove the triangles congruent that is only statement (A) fits in it.

If AD bisects ∠CAB then ∠CAD=∠BAD..(3)

Now again Now in ΔACD and ΔABD

∠ACB=∠CBA [from (1)]

AD=AD [common]

∠CAD=∠BAD [from (3)]

So by ASA congruency criteria ΔADC≅ΔABD.

7 0
3 years ago
Other questions:
  • Can you please help me ​
    5·2 answers
  • A plant grew 3/10 meter in april in may it grew 27/100 meter in may in june the plant grew 13/100 meter.Which fractions are equi
    12·2 answers
  • Dan earns £356 over the course of a five-day week. How much is that per day?
    7·2 answers
  • Pls help me with this math
    13·1 answer
  • BRAINLIEST FOR BEST ANSWER ** What is the degree number of Z?
    5·2 answers
  • 0.36 divided by 2.34
    13·2 answers
  • I WILL GIVE BRAINLY! PLEASE HELP!
    15·1 answer
  • A reporter for a student newspaper is writing an article on the cost of off-campus housing. A sample was selected of 10 one-bedr
    5·1 answer
  • Please help my friend!!
    15·2 answers
  • The handle of a car jack is moved 75cm and the car is lifted 2.5 cm. What is the ideal mechnical advantage of this car
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!