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
Help me please PLEASEEEEE
Nuetrik [128]
The answer is 25 since 4•4 is 16 and 16 plus 12 is 28. 28 - (2•3=6) + 3= 25
3 0
3 years ago
The diameter of a circle is 7 ft. Find its area to the nearest tenth.
Mumz [18]

Answer:

38.5ft²

Step-by-step explanation:

we know the formula for Area is

A=pi*r²

A=38.5

6 0
2 years ago
6 6/9 divided by 1 5/7
makvit [3.9K]
Exact Form:
28/9
Decimal Form:
3.1
Mixed Number Form:
3 1/9
3 0
2 years ago
Select the correct text In the table.
Yuri [45]

Answer:

-9-958

216

Step-by-step explanation:

add

3 0
2 years ago
Pleaseeeeeeeeeeeee helppppppppppppppppp
Fittoniya [83]
You really just have to do 12.4 x 2 = 24.8 because half of 24.8 is 12.4.
3 0
3 years ago
Other questions:
  • The longest side of a triangle is six more units than the shortest side. The third side is twice the length of the shortest side
    8·1 answer
  • A local market sold 6 containers of jumbo shrimp on Saturday. The following list shows the number of shrimp that were packaged i
    6·1 answer
  • Can someone help plz plz
    8·2 answers
  • PLEASE HELP What is the range of this function? -1, -4, 4, 1, 8, 7, 18, 15
    5·2 answers
  • Arrange these numbers from least to greatest: 5/6, 7/9, -4/5
    7·2 answers
  • how would you change this sentence to a true statement? Every irrational number is an integer. A.Every irrational number is a ra
    15·2 answers
  • ANSWER QUICKLY: This is a surface area question​
    10·1 answer
  • Rolling a 6 sided die. Find the probability the number rolled is less than 3 given that it’s a factor of 6.
    8·1 answer
  • The probability that the coin shows tails and is the number 2
    7·2 answers
  • Y = x4 - 3x2 + 4
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!