Math, asked by coolleename, 1 year ago

Write all the 2digit numbers which when added to 27 get reversed

Answers

Answered by Astrobolt
118
let nos be 10X + Y, so the number is written as XY
for example, If it is 25, it is 10×2 + 5.
so our equation formed is
10X + Y + 27 = 10Y + X
9X + 27 = 9Y
X + 3 = Y
now the upper limit for a digit of a number is 9.
Y------X
9 6
8 5
7 4
6 3
5 2
4 1

We cant take X = 0 because if we did it wont be a 2 digit number.
So the numbers are
14
25
36
47
58
69

coolleename: Is there any other methods for them who don't know the use of X Y etc
Astrobolt: Well then its trial and error
Astrobolt: ask the second person whos answering, he or she is giving direct answer
Astrobolt: X is just a variable, it is a number we have to find
coolleename: Ya I knw bt students will confused what are X and y
Astrobolt: I wrote it there in the answer, each of them represents a digit of the 2 digit number
Astrobolt: like if it is 25, then X is 2 and Y is 5
Astrobolt: but we dont know the number so we are trying to find it
coolleename: Ya..bt trial method is so lengthy n time taking
Astrobolt: thats why taking X and Y is faster and easier
Answered by Princess143
64
14,25,36,47,58,69 are all the two digit numbers which when added to 27 get reversed.

coolleename: What is the best way to find these numbers without using variables..and trial method is too long
Princess143: We simply find first two digit no.14 and when I taken other no.the other no. comes 25 and then I understood that the no.comes when I added it to 11.So,using this way (adding 11 )we simply find it.
Princess143: Tell me one thank yaar please
Astrobolt: Same logic doesn't work for all nos
Astrobolt: it worked only for this question
Princess143: Yaaa
Princess143: Thanks Karo naaaaaaaaaaa
coolleename: Thnks
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