The sum of a two-digit number is 8. If the number is multiplied by 4, the result is 104. write and solve a system of equations. find the number

Question

can you provide this with steps please.

Answer 1

I assume that you mean:  the sum of the digits is 8

 

A two digit positive integer can be expressed as 

10(tens digit) + ones digit.  For example, 37 = 10(3) + 7.  

 

Let x = tens digit

      y = ones digit

 

Then, x + y = 8

         4(10x + y) = 104

 

So, x + y = 8

    10x + y = 26

 

Subtract the second equation from the first:

 

  -9x = -18

 

     x = 2 and y = 6

 

The number is 26