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KiRa [710]
2 years ago
7

Which of the following number 1001,1002,1004 will be the sum of 994 and a 2 digit number

Mathematics
1 answer:
katrin [286]2 years ago
8 0

The number that will be the sum of 994 and a 2 digit number is 1004 (option 3). Details about digits of numbers can be found below.

<h3>What is a 2-digit number?</h3>

A digit is the whole numbers from 0 to 9 and the arabic numerals representing them, which are combined to represent base-ten numbers.

A 2-digit number is any number between 10 and 99.

According to this question, 994 is said to be added to a 2 digit number to result into either 1001, 1002 or 1004.

  • 1001 - 994 = 7 (1 digit)
  • 1002 - 994 = 8 (1 digit)
  • 1004 - 994 = 10 (2 digit)

Therefore, the number that will be the sum of 994 and a 2 digit number is 1004.

Learn more about number at: brainly.com/question/17429689

#SPJ1

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Answer:

\huge \colorbox{red}{(x,y)=(-1,-3)}

Step-by-step explanation:

multiply first equation by 4 and second by 3 respectively:

\begin{cases} \displaystyle - 12x + 28y =  - 72 \\   \:  \: \displaystyle  \: 12x - 12y = 24 \end{cases}

combine the equations:

\underline{ \begin{cases} \displaystyle - 12x + 28y =  - 72 \\   \:  \: \displaystyle  \: 12x - 12y = 24 \end{cases}} \\  \displaystyle16y =  - 48

divide both sides by -48:

\displaystyle \:  \frac{16y}{16}  =  \frac{ - 48}{16}  \\ y =  - 3

substitute the value of y to the second equation

\displaystyle \: 4x - 4. - 3 = 8

simplify multiplication:

\displaystyle \: 4x  + 12 = 8

cancel 12 from both sides:

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\displaystyle \:  \frac{4x}{4}  =  \frac{ - 4}{4}  \\ x =  - 1

therefore our solution is

\displaystyle (x,y)=(-1,-3)

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