A two digit number is such that the sum of the digits is 11 When the number with the same digits is ...........

Quantitative Aptitude ( CCS) Number System

A two digit number is such that the sum of the digits is 11.When the number with the same digits is reversed is subtracted from this number, the difference is 9.What is the number?

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Explanation:

Answer
Answer- 3(65)
Explanation:-
let the number be written as xy
x-ten’s place
y units place
x+y=11…………………1
(10x+y)-(10y+x)=9
10x+y-10y-x=9
9x-9y=9
x-y=1………………….2
Add (1) & (2)
2x=12
x=6
y=5
the number is 65