The difference of a number of two digit and a number formed by reversing its digit is 54. The numb

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01 Sep 2010 Number and its reverse

The difference of a number of two digit and a number formed by reversing its digit is 54. The number is

OPtion

1) 73
2) 83
3) 92
4) 51
5) 48
6) 38
7) 80
8) 91
9) 71
10) 27

Solution

60 – 06 = 54
71 – 17 = 54
82 – 28 = 54
93 – 39 = 54

Correct Option: 9 Best Solution (15)

SUDESHNA SEN   13 years AGO

Let the number be 10x+y. Then the number formed by reversing its digits is= 10y+x.
Therefore, 10x+y-10y-x= 9x-9y= 54,
or, x-y=6.
i.e. the difference of the two digits is 6.
Among the given options only 71 has the difference of 6 in its digits.
So, the number is= 71..... Option 9)

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Dr.Dipin Singh   13 years AGO

If xy is the number, then 10x+y= 10y+x+54 ..or ..9x-96 = 54 or x-y = 6;

So there are many combinations like 93,82,71 out of which 71 is there in given options.

Like? Yes (1) | No   

aparna   13 years AGO

Let the number be 10x+y. Then the number formed by reversing its digits is= 10y+x.
Therefore, 10x+y-10y-x= 9x-9y= 54,
or, x-y=6.
i.e. the difference of the two digits is 6.
Among the given options only 71 has the difference of 6 in its digits.
So, the number is= 71..... Option 9)

Like? Yes (1) | No   

JEEVAN DAS   13 years AGO

Let the number be 10x+y. Then the number formed by reversing its digits is= 10y+x.
Therefore, 10x+y-10y-x= 9x-9y= 54,
or, x-y=6.
i.e. the difference of the two digits is 6.
Among the given options only 71 has the difference of 6 in its digits.
So, the number is= 71..... Option 9)

Like? Yes (1) | No   

samir    13 years AGO

Let the number be 10x+y. Then the number formed by reversing its digits is= 10y+x.
Therefore, 10x+y-10y-x= 9x-9y= 54,
or, x-y=6.
i.e. the difference of the two digits is 6.
Among the given options only 71 has the difference of 6 in its digits.
So, the number is= 71..... Option 9)

Like? Yes (1) | No   

Tridib Das   13 years AGO

Let the number be 10x+y.
Therefore, 10x+y - (10y-x) = 54
or, x-y = 6.
Thus, the difference between the decimal place and the unit place is 6.
From all the options, only 71 is the solution, as (7-1) = 6.
Therefore the answer is (9).

Like? Yes (1) | No   

sanjay   13 years AGO

Let the number be 10x+y. Then the number formed by reversing its digits is= 10y+x.
Therefore, 10x+y-10y-x= 9x-9y= 54,
or, x-y=6.
i.e. the difference of the two digits is 6.
Among the given options only 71 has the difference of 6 in its digits.
So, the number is= 71..... Option 9)

Like? Yes (1) | No   

alok   13 years AGO

Let the number be 10x+y. Then the number formed by reversing its digits is= 10y+x.
Therefore, 10x+y-10y-x= 9x-9y= 54,
or, x-y=6.
i.e. the difference of the two digits is 6.
Among the given options only 71 has the difference of 6 in its digits.
So, the number is= 71..... Option 9)

Like? Yes (1) | No   

S. Singh   13 years AGO

71 as 71-17=54

Like? Yes (1) | No   

Mamon Sengupta   13 years AGO

Let the number be 10x+y. Then the number formed by reversing its digits is= 10y+x.
Therefore, 10x+y-10y-x= 9x-9y= 54,
or, x-y=6.
i.e. the difference of the two digits is 6.
Among the given options only 71 has the difference of 6 in its digits.
So, the number is= 71..... Option 9)

Like? Yes (1) | No   

Somdatta Mukherjee   13 years AGO

Let the number be 10x+y. Then the number formed by reversing its digits is= 10y+x.
Therefore, 10x+y-10y-x= 9x-9y= 54,
or, x-y=6.
i.e. the difference of the two digits is 6.
Among the given options only 71 has the difference of 6 in its digits.
So, the number is= 71..... Option 9)

Like? Yes (1) | No   

PADMASHREE   13 years AGO

The nos are 71 and 17, option 9

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Ankit Pandey   13 years AGO

PUTTING THEM TENS AND ONES AND CALCULATING i GET 71

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Sahil   13 years AGO

71-17=54

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Dolly   13 years AGO

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

Like? Yes (1) | No