Latest TCS Aptitude Question SOLUTION: The digits of a two-digit number differ by six. Find the difference of the number and the number formed by reversing its digits?

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The digits of a two-digit number differ by six. Find the difference of the number and the number formed by reversing its digits?

Asked In TCS Ritika Shrivastava (9 years ago)

Solved BHASKAR MANDAL Read Solution (18)

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Read Solution (18) :

BHASKAR MANDAL  (9 years ago) Best Solution

let the tens digit be x and ones digit be y
x-y =6

10x+y - (10y+x) = 9x-9y = 9 (x-y) = 9*6 = 54

Is this solution Helpfull? Yes (53) | No   

tirupathi reddy  (9 years ago)

Ans is 54

60-06=54,
71-17=54,
82-28=54,
93-39=54

Is this solution Helpfull? Yes (9) | No   

Sarabeshwar  (9 years ago)

just do the options...and follow trail and error

thats the efficient way to solve these sort of questions.... i trust

Is this solution Helpfull? Yes (4) | No (1)  

SHUBHAM MAHESHWARI  (9 years ago)

let the two numbers be x and y
reading the question above we get
x-y=6

10x+y -(10y+x)=9x-9y
9(x-y)=9*6=54 answer

Is this solution Helpfull? Yes (3) | No   

Ayush Upadhyaya  (9 years ago)

Since it is a property of a two digit number that difference between a number and number formed by reversing its digits is divisible by 9 and the quotient formed my dividing that quantity by 9 is the difference between the digits of a two digit number
i.e
YX-XY=d=This d is divisible by 9 and on dividing this d by 9 the quotient is the difference between digits of a two digit number
so according to given question
Y-X=6
that means 9*6=54 is difference which we will get by doing YX-XY
YX-XY=54
since difference between digits is given of 6
so possible probabilities are
17and71or 28and82 or 93and39

Is this solution Helpfull? Yes (2) | No (1)  

NEHA CHATTERJEE  (9 years ago)

let x=8, y=2
x-y=6
number is 82
reverse is 28
82-28= 54
similarly 93-39 = 54
ans is 54

Is this solution Helpfull? Yes (2) | No   

harsha khatri  (9 years ago)

@mandal y u take 9x-9y

Is this solution Helpfull? Yes (1) | No   

deepshikha  (9 years ago)

let the digit be x,y;
numer =10x+y;
reversing digit number would be 10*y+x;
from question
(10x+y)-(10y+x)=?
9x-9y=9(x-y)=9*6=54.

Is this solution Helpfull? Yes | No   

Pinki  (9 years ago)

let digits are x , y
tenth digit =x, units=y
acc. to question x - y =6
now, (10x-y) - (10y -x)= ??
so the above eq. gives 9x -9y => 9(x-y) => 9*6 =54 (as x-y=6)

Is this solution Helpfull? Yes | No   

payal pandey  (9 years ago)

A/Q the difference of two no.(x-y)=6
=>10x+y -10y-x
=>9(x-y)=9*6=54

Is this solution Helpfull? Yes | No   

Saurabh Mishra  (9 years ago)

ans is 54

Is this solution Helpfull? Yes | No (2)  

sagar  (9 years ago)

there are three combination
9-3=6
8-2=6
7-1=6
therefor no are 93 ,82 and 71
and difference no and its reverse are 93-39=82-28=71-17=54 is same

Is this solution Helpfull? Yes | No   

Nidhi Grover  (9 years ago)

let the tens digit be x and ones digit be y
x-y =6

10x+y - (10y+x) = 9x-9y = 9 (x-y) = 9*6 = 54

Is this solution Helpfull? Yes | No   

PRIYA  (9 years ago)

how 10 came here in 10x+y. pls tell clearly.

Is this solution Helpfull? Yes | No   

DpkJn  (9 years ago)

Priya...
If decimal digit is x and unit digit is y then the two digit no. Happns 10x+ y

Is this solution Helpfull? Yes | No   

yerikila saroja  (9 years ago)

54 is the answer.

Is this solution Helpfull? Yes | No   

shivank srivastava  (9 years ago)

there are three combination
9-3=6
8-2=6
7-1=6
therefor no are 93 ,82 and 71or reverse of them i.e.17,28 and 36
and its reverse are 93-39=82-28=71-17=54 is same

Is this solution Helpfull? Yes | No   

harry singh  (9 years ago)

suppose digits are x and y so,
10x+y-(10y+x)=9(x-y)=9*6=54

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