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

Who’s knows this answer
Why is positive stress important for healthy development?
456 divided by 8 WHOEVER ANSWER FIRST WILL GET 72 POINTS
Which continent has the most countries with GDPs below $100 billion?O AfricaO EuropeO North AmericaO South America​
Why was a new state constitution written in 1876
Which members of roman society would have been most likely to consult the goddess juno?
Add or remove commas, if necessary, until the sentence has correct punctuation.Maple syrup blueberries and chocolate chips are AlexDanvers's favorite waffle top
I neeeeeeeeeeeeeeeeeeeeeeeeeeed help mentally and with this question
9. Vice presidential candidate who ran with George H. W. Bush​
True or false and thank you