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
Katena32 [7]
3 years ago
15

a certain number of two digit is three times the sum of its digit and if 45 added to it the digit will be reversed find the numb

er ?​
Mathematics
1 answer:
bogdanovich [222]3 years ago
5 0
· Author has 184 answers and 67.6K answer views
Let the number be (10 x + y)

Then, 10 x + y = 3 * (x + y) (given)

Or, 10 x + y = 3 x + 3 y

Or, 10 x - 3 x = 3 y - y

Or, 7x = 2 y

Or, x = 2 y / 7 ( Eq. 1)

Also, 10 x + y + 45 = 10 y + x ( given)

Or, 10 x - x = 10 y - y - 45

Or, 9 x = 9 y - 45 ( Eq. 2)

Substituting the value of x from (Eq. 1) in (Eq. 2), we have:

9 * 2 y / 7 = 9 y - 45

Or, (9 y ) - (18 y / 7) = 45

Or, 63 y - 18 y = 315

Or, 45 y = 315

Or, y = 7

From (Eq. 1),

x = 2 * 7 / 7 = 2

So, the number is 10 x + y = (10 * 2) + 7 = (20 + 7) = 27

Answer

Check:

Sum of the digits = 2 + 7 = 9

9 * 3 = 27 ✓

Adding 45 to the number 27, we get 72. So, the digits get reversed.
You might be interested in
Which of the following number lines represents the solution to x - 5 ≥ -2?
Hunter-Best [27]
This one is your answer hope this helps

4 0
3 years ago
Read 2 more answers
Evaluate the expression 3(7 + 4)2 − 24 ÷ 6
solong [7]

Answer:

3(7 + 4)2 − 24 ÷ 6 = 62

Step-by-step explanation:

3(7 + 4)2 − 24 ÷ 6 is the given expression.

Now, by the rule of BODMAS, where B = Bracket, O= of, D = divide,

M = multiplication, A = addition and S = subtraction

we try and solve the following expression in the same order.

Solving the bracket first, we get

3<u>(7 + 4)</u>2 − 24 ÷ 6 = 3(<u>11</u>)2 − 24 ÷ 6  =<u> 66</u>  − 24 ÷ 6

Next, we solve divide,

66 − <u>24 ÷ 6</u> = 66 - <u>4</u>  

Next, solving the subtraction, 66 - 4    = 62

Hence, 3(7 + 4)2 − 24 ÷ 6 = 62

6 0
3 years ago
Can someone help me with this?Can someone help me with this!!!
Elenna [48]

Answer: first fish is -4 and the other is -3

-3 is greater

Step-by-step explanation:

I big brain pls mark brainliest

6 0
2 years ago
Read 2 more answers
The manufacturer of a laser printer reports the mean number of pages a cartridge will print before it needs replacing is 12,425.
snow_lady [41]

A suitable probability app shows the 1st percentile to be at about 11040 pages.

_____

The app shown has an error in the first decimal digit. The number is closer to 11040.82301. We expect the manufacturer would round to the nearest 10 or 50 or 100 in advertising.

8 0
3 years ago
5,049 +48=105
Alborosie
<h2>Solution (a) :-</h2>

Let the cost of the less expensive comic book be x .

Then :-

1284 - 11x = x

Using this equation , we can find the cost of the less expensive comic book .

Price of the less expensive book :-

1284 - 11x = x

11x + x = 1284

12x = 1284

x =  \frac{1284}{12}

x = 107

Cost of the less expensive book is 107 .

Therefore , the epice of the less expensive book = $ 107 .

<h2>Solution (b) :-</h2>

Cost of the more expensive book = 11x

Which means :-

1284 - x = 11x

11x + x = 1284

12x = 1284

x = 107

11x = 11 \times 107

= 1177

Therefore , the price of the more expensive book = $ 1177 .

4 0
3 years ago
Other questions:
  • 5. The shape of a dome can be modeled by the equation h = - 2 d 2 + 100 where h is the height (in feet) of the dome from the flo
    7·1 answer
  • How is a relationship determined when looking at a scatterplot?
    9·2 answers
  • Which of the symbols correctly relates the two numbers below? Check all that apply.
    10·1 answer
  • Which quotient is greater than 3?<br><br> 42 ÷ 19<br> 40 ÷ 18<br> 38 ÷ 14<br> 36 ÷ 11
    14·1 answer
  • Which ordered paired IS NOT a solution of y = 3x - 8
    14·1 answer
  • Does anyone need help with any subject I will help you
    12·2 answers
  • Can someone please help me with questions 12 through 14 with the answer correct I was trying but I don’t know what I put down is
    10·1 answer
  • Whoever gets this correct first gets brainlest
    11·1 answer
  • Find the area of this trapezoid. no links only answer
    12·1 answer
  • In triangle ABC, m∠ A = 45˚ and a = c. Which best describes triangle ABC? *
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!