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

what is -3a + 2a - 7 + a, when a = ⅚
5. Which famous French hero helped instill French nationalism during the Hundred Years War?*
Mexicans ur not gonna like what im about to say: TACOBELL..
Casey bought 9 tickets to a concert. The total charge was $104, including a $5 service charge. a) Write and equation you can solve to find c, the cost of one t
Oxygen gas was produced in a reaction and collected over water. A 136.1 mL mL sample of gas was collected over water at 25C and 1.06 atm. The vapor pressure of
x−8≥4 x=? please explain how you got the answer
What did it mean to boycott British goods
7 - 3x + 6x^2 - 10 + x - x^2=?
Carley has already written 35 pages of a novel. She plans to write 12 additional pages per month until she is finished. Write and solve a linear equation to fin
please help me :) due in a few hours.. uggh this sucks