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
zlopas [31]
3 years ago
8

The sum of the digits of a two digit number is 14. The difference between the tens digit and the units digit is 2.

Mathematics
2 answers:
galben [10]3 years ago
7 0

Answer:

see explanation

Step-by-step explanation:

Sum of the 2 digits x and y is 14, thus

x + y = 14

The difference between the tens digit x and the ones digit y is 2, thus

x - y = 2

The system of equations representing the problem is

x + y = 14 → (1)

x - y = 2 → (2)

Add the2 equations term by term to eliminate y

2x = 16 ( divide both sides by 2 )

x = 8

Substitute x = 8 into (1)

8 + y = 14 ( subtract 8 from both sides )

y = 6

The 2 digit number is 86

Rama09 [41]3 years ago
6 0

Step-by-step explanation:

the system of equations representing the word problem is

x+y=14, y-x=2

let x be the tens digit and y be the ones digit

solve simultaneously the two equations,

x+y-x+y=14+2

2y=16

y=8

now put in y=8

8-x=2

x=8-2

x=6

so the digit is 68

You might be interested in
A pallet requires 2 mins 15 seconds to prepare for shipment and 30 seconds to load on a trailer how long will it take to prepare
Reika [66]
<span>21.4333333333 thats wut i got hope i helped :-) 

</span>
6 0
3 years ago
Read 2 more answers
Which price is equivalent to $1.50 for 1 pound of apples?
olga_2 [115]
A. 6 pounds of apples for $9
9/6=1.5=$1.50 per pound
6 0
2 years ago
In a class 30 of students, 19 play an instrument and 10 play a sport. There are 8
baherus [9]

Answer:

1/30

Step-by-step explanation: There are 30 students 19 play instr, 10 play spor,

8 who do both. Their is one student that was left out so the answer is 1/30

8 0
3 years ago
The ratio of the number of boys to the number of girls at school is 4:5. what fraction of the students are boys?
Arisa [49]
Boys to girls is 4:5.......added = 9

so 4/9 are boys and 5/9 are girls
5 0
3 years ago
The roots of a quadratic equation ax2+bx+c=0 are 3+sqrt2 and 3−sqrt2. Find the values of b and c assuming that a=1.
slamgirl [31]

Answer:

b=-6\\c=7

Step-by-step explanation:

we know that

The general equation of a quadratic function in factored form is equal to

y=a(x-x_1)(x-x_2)

where

a is a coefficient of the leading term

x_1 and x_2 are the roots

we have

a=1\\x_1=3+\sqrt{2}\\x_2=3-\sqrt{2}

substitute

y=(1)(x-(3+\sqrt{2}))(x-(3-\sqrt{2}))

Applying the distributive property convert to expanded form

y=x^2-x(3-\sqrt{2})-x(3+\sqrt{2})+(3+\sqrt{2})(3-\sqrt{2})

y=x^2-(3x-x\sqrt{2})-(3x+x\sqrt{2})+(9-2)

y=x^2-3x+x\sqrt{2}-3x-x\sqrt{2}+7

y=x^2-6x+7

therefore

b=-6\\c=7

7 0
3 years ago
Other questions:
  • A piece of string is 325 centimeters long.
    12·1 answer
  • What is the solution of y= 1/2x - 1 and y=3x+4
    6·1 answer
  • Express (picture) in a radical form.<br> please show how you go to the answer, thanks!
    14·1 answer
  • There are 35 boys in the sixth grade. The number of girls in the sixth grade is 42. Lonnie says that means the ratio of number o
    7·1 answer
  • Is the answer yes or no tell me please ?
    6·2 answers
  • 4x^2-400=0<br><br> square roots and solving quadratics
    8·1 answer
  • R- 17.3 = -3.2 what's the answer to this?
    7·1 answer
  • The members of the Student Activity Council on your campus are meeting to select three speakers for a​ month-long event celebrat
    8·1 answer
  • Tran drove his car at a constant speed of 55 miles per hour.
    6·2 answers
  • Which transformations could have occurred to map triangle ABC triangle A^ * B^ n C^ prime
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!