Latest L&T Aptitude Question SOLUTION: The number obtained by interchanging the two digits of a two digit number is lesser than the original number by 54. If the sum of the two digits of the number is 12, then what is t

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The number obtained by interchanging the two digits of a two digit number is lesser than the original number by 54. If the sum of the two digits of the number is 12, then what is the original number?
(1) 28
(2) 39
(3) 82
(4) Can’t say
(5) None of these

Asked In L&T ABHINAV PUSHPAM (7 years ago)

Unsolved Read Solution (5)

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Read Solution (5) :

Devendra Marghade  (7 years ago)

(5) None of these

Let with two digits x and y, original number= 10x+y
Number obtained by reversing the digits= 10y+x
Given the later number is less by 54 than the original, so 10x+y -(10y+x)=54 or x-y=6 ---(i)
Also Sum of the two digits is 12, so x+y= 12 ----(ii)
From (i) & (ii), x=9, y=3
So original number=10x+y= 10*9 +3= 93

Is this solution Helpfull? Yes (5) | No   

Nishchay Pathak  (6 years ago)

Let ten's digit= x
Unit's digit= 12-x

A/Q;

[10(12-x)+x] - [10x + (12-x)]= 54

On solving, we get;

x=3.

So, ten's digit= 3
Unit's digit= 9

Thus the original number is 39..

Is this solution Helpfull? Yes (1) | No   

jitendara  (7 years ago)

93

10x+y-10y-x=54
and x+y=12

Is this solution Helpfull? Yes | No   

kiran  (6 years ago)

Let with two digits x and y, original number= 10x+y
Number obtained by reversing the digits= 10y+x
Given the later number is less by 54 than the original, so 10x+y -(10y+x)=54 or x-y=6 ---(i)
Also Sum of the two digits is 12, so x+y= 12 ----(ii)
From (i) & (ii), x=9, y=3
So original number=10x+y= 10*9 +3= 93
they asked interchanged digit correct ans 39

Is this solution Helpfull? Yes | No   

Indhu Dasari  (4 years ago)

5

Let with two digits x and y, original number= 10x+y
Number obtained by reversing the digits= 10y+x
Given the later number is less by 54 than the original, so 10x+y -(10y+x)=54 or x-y=6 ---(i)
Also Sum of the two digits is 12, so x+y= 12 ----(ii)
From (i) & (ii), x=9, y=3
So original number=10x+y= 10*9 +3= 93

Is this solution Helpfull? Yes | No   

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