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

M4maths Previous Puzzles

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   14 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   

Dr.Dipin Singh   14 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   14 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   14 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    14 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   14 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   14 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   14 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   14 years AGO

71 as 71-17=54

Like? Yes (1) | No   

Mamon Sengupta   14 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   14 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   14 years AGO

The nos are 71 and 17, option 9

Like? Yes (1) | No   

Ankit Pandey   14 years AGO

PUTTING THEM TENS AND ONES AND CALCULATING i GET 71

Like? Yes (1) | No   

Sahil   14 years AGO

71-17=54

Like? Yes (1) | No   

Dolly   14 years AGO

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

Like? Yes (1) | No