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

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

Does knowing why you are growing out of your comfort zone help you to keep going when certain barriers get in your way? why or why not?

Please someone help! I've been struggling with this assignment! SHOW ALL WORK. - Seats in a theater are curved from the front row to the back. The front row has

The stage of Bruce Tuckman’s group decision-making process in which the members express their individual needs and opinions is ________.

Please help me ill mark brainlyest if correct

What is one duty of the lieutenant governor of Georgia but not the governor? A. serving as commander-in-chief of the state's military B. leader of the Georgia S

HELP THANK YOUU :))))

The formula for area is length x width. What is the area of the rectangle if the length is 7/5 and the width is 5/8? Write your answer in simplest form. 5 8 75|

which number represents the continent on which the Himalaya Mountains is found... THE NUMBER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

If sin(38°) and cos(52°) does that add up to 90°?

When Dr. Rappaccini works with many of the plants in his garden, he protects his hands with gloves. What does he need for the plant with the purple flowers?