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

Excel - Using the charts below how would I create an equation to calculate the cost for the other years using the annual API
Plz..... Solve this questions for me...
Why do teapots have highly polished surface
Which of the following is equivalent to √-75
hopefully you can see thisI need help with my biology ASAP
In parallelogram RSWY, find m
Why does high population growth cause problems in countries with low economic growth? Select all that apply. High population growth can lead to poor education.
1/5 of the passengers on a bus are young adults and 2/3 of them are children. The remaining passengers are senior citizens. What fractions of the passengers are
why should the teacher praise socially cooperations interactions?​
what does gross domestic product measure?