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

Which rasa is the heroic sentiment? Vira Srngara Kauna
how many weeks will it take to save for a $3000 dirt bike if you have $500 already and get a weekly allowance o $20?
what is equivalent to (f+g)(4)​
Please help me I will give brainliest
what is the explicit rule for the sequence 11 22 44 88​
Can somebody please help answer these questions. Thank you!
Jim had a collection of 24 state quarters. He poured 10 of them onto the table and noticed the years that the quarters were produced, as shown below. 2004, 2006
What makes 3 + 7 + 2 = __ + 2 true?
The shapes of the horizontal cross-sections of the cone below are not all congruent. A. True B. False
Directions: Fill out the Activity Participation for Fitness Advocacy. Date Activity Nature of Organizers Participation Sponsoring (participant or Individuals, G