marrisaannechow marrisaannechow
  • 01-07-2018
  • Mathematics
contestada

Find all two-digit numbers with the following property: difference of that number and the number with its reversed digits is 36.

Respuesta :

konrad509
konrad509 konrad509
  • 01-07-2018
[tex]10x+y-(10y+x)=36\\ 10x+y-10y-x=36\\ 9x-9y=36\\ x-y=4\\\\ x,y\in\{1,2,3,4,5,6,7,8,9\}\\ \Downarrow\\ x=5,y=1\\ x=6,y=2\\ x=7,y=3\\ x=8,y=4\\ x=9,y=5 [/tex]

There are 5 such numbers - 51,62,73,84,95
Answer Link

Otras preguntas

The thematic apperception test (tat) is a(n) __________ measure.
PLEASE HELP!!!!!!!!!!!!!!! Which of the following is not a reason for Roman Catholic missionary successes in the Northwest? A. They offered a religion rich in s
energy was added to the molecule. What processes would occur in the cell to add this energy?
Over the last three evenings, Ashley received a total of 106 phone calls at the call center. The third evening, she received 2 times as many calls as the se
where is rna found in the cell?
What is the solution of the equation f(x) = g(x) ? A. x = -4 B. x = -2 C. x = 2 D. x = 4
How does a graphics card help the computer’s main CPU?
How much do a dozen cookies weigh?
if the perimeter is 560 yards what is the dimensions
In what way did Japan's location serve to both protect and isolate it?