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
s344n2d4d5 [400]
3 years ago
13

Chen writes down a two digit number. He finds out that if he swapped the numbers, it would be three more than the 1/3 of the ori

ginal number. What was the ORIGINAL number?
Mathematics
1 answer:
inna [77]3 years ago
8 0

Answer:

Step-by-step explanation:

From the information given,

Let the two digits that Chen writes down to be p and q

where,

q will be in the unit place and p will be in the tens place.

So, the value of the digit = 10p + q

So, if he swapped the number, he will have 10q + p

However,

the new number determined is thrice more than the 1/3 pf the original number.

i.e

the 1/3rd of the original number = \dfrac{1}{3}(10p+q)

=\dfrac{10p+q}{3}

thrice more than that will be = \dfrac{10p+q}{3} + 3

∴

\dfrac{10p+q}{3} + 3 = 10q+p

multiply through by 3, we have :

10p+q + 9 = 30q + 3p

collecting the like terms, we have:

10p - 3p +q -30q +9 = 0

7p - 29q +9 = 0

7p - 29q = -9

Therefore, p,q lie between 0 and 9

Therefore, the possibility of the original number is p = 7 and q = 2

You might be interested in
Need help with #5 please explain
kipiarov [429]

The height of the tree is 42.

7 0
3 years ago
0+oi, 4+0iand 0+3i the area and the length
Nuetrik [128]
What's the question you're asking?
5 0
3 years ago
(No links please) There were 2 red marbles, 3 blue marbles and 5 gold marbles in a bag.
Rashid [163]

Answer:

5/9

Step-by-step explanation:

You started with 10 marbles total. You removed one marble and did not replace it, so you now have 9 marbles. The marble that you removed was NOT a gold marble, so you still have 5 gold marbles.

This means that out of the 9 marbles that you have left, 5 of them are gold.

This means you have a 5/9 chance of drawing a gold marble next.

4 0
3 years ago
Martin finds a shirt on sale for 20% off at a department store. The original price was $20. Martin must also pay a 7.5% sales ta
mars1129 [50]

Answer: You will pay $13.52 for this shirt.

Step-by-step explanation: 0.9435

Since the tax is 7.5%, you have to multiply 12.58 by 7.5% to find the amount of money paid as tax.

7.5% = 0.075

12.58 x 0.075 = 0.9435

Since we are dealing with money we have to round to the nearest hundredth -- 0.9435 = 0.94

Then to find the final cost of the shirt, we have to add 12.58 and 0.94 to get  $13.52.

3 0
3 years ago
Read 2 more answers
Why are mathematicians like airlines?
ipn [44]
They both use planes.
8 0
3 years ago
Other questions:
  • What is the solution to the system of equations? 3x + 10y = -47 5x- 7y = 40<br>Please and thank u
    8·2 answers
  • Find the graph of y=-3/4X-2
    12·1 answer
  • 8. Change the fraction 4/13 to a decimal. Round off to the nearest thousandth. A. 0.134 B. 0.413 C. 0.325 D. 0.308
    6·1 answer
  • Line JM intersects line GK at point N Which statements are true about the figure? Check all that apply.
    13·2 answers
  • [cached] 0.020980834960938 ms
    10·1 answer
  • The equation of a line is 5x + 10y = 15. Which if the following points lines on the line? (–3, 0) (–1, 2) (1, –2) (0, 3) The slo
    6·2 answers
  • Question 3
    14·1 answer
  • tania brings 8.32 to the candy store. she wants to buy 21 jawbreakers does she have enough money? round your answer down to the
    9·1 answer
  • I need help with this question. i keep having trouble
    13·1 answer
  • Said deposited sh 56 800 in a SACCO, which paid simple interest at the rate of 12% 1 per annum. After sometime he withdrew all h
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!