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sergij07 [2.7K]
3 years ago
9

The sum of 2 numbers is 50. The sum of 1/4 of the first number and 2/3 of the second number is 25.What are the numbers?

Mathematics
1 answer:
tino4ka555 [31]3 years ago
6 0

Answer:

First number: 20

Second number: 30

Step-by-step explanation:

First#:   x

Second#:   y

Constraints:

   x + y = 50      

   1/4x + 2/3y = 25

Isolate variable y:

   x + y = 50    

  -1/4 (x + y = 50 )

 -1/4x - 1/4y = -12.5

  Add equations the two equations to eliminate x:

    -1/4x - 1/4y = -12.5

     1/4x + 2/3y = 25

  _________________

       5/12y = 12.5

           5y = 150

              y = 30

Substitution to find x:

       x + y = 50  

       x + 30 = 50

              x = 20

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Answer:

9*10^{12}km

Step-by-step explanation:

9,460,730,472,580.8 km

First, we can work out 5% of our number, by multiplying it by 0.05

9,460,730,472,580.8 * 0.05 = 473,036,523,629

Now, if we add and subtract our 5% calculated from our original number, we can work out the minimum and maximum value that our final answer can be in the range of.

9,460,730,472,580.8 + 473,036,523,629 = 9.933767*10^{12}\\9,460,730,472,580.8 - 473,036,523,629 =8.98769395*10^{12}

We can see that 9*10^{12} is in the range of valid answers, as:

8.9*10^{12} \leq 9*10^{12} \leq 9.9 * 10^{12}

So, our final answer is:

9*10^{12}km

5 0
3 years ago
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Answer:

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Step-by-step explanation:

Swap the fraction,

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Answer:

Step-by-step explanation:

From the information given;

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