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 the answer to 3,5,6
Which of the following statements does NOT describe pandemics? confined to a specific geographic area easily spread to new areas highly contagious disease the b
BRAINLIESTTTT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Which of the following is an r-selected species in the ocean and why? A. Algae are an r-selected species because t
find four consecutive integers such that 5 times the fourth diminished by twice the second is 7
How did the New Deal benefit New Mexico’s youth?
the expression 12×yz-45 is a
Which line creates a bright and spooky tone? Fog rolled thickly over the fields, shrouding them in the gray and brown colors of winter. Light bounced across the
Which of the following is a sign a chemical reaction has occurred? A blue liquid is mixed into a yellow liquid, and the mixture turns green. A piece of metal
A sailboat travels 3 miles in 1.5 hours. How far can a boat travel in 0.5 hour?
A collection of numbers or objects is called a