Question

The difference of digits of a two digit number is 3. On
reversing the order of digits, the new number
decreases by 27 than original number. Find the number​

Answer 1

Answer:Let two digit numbers are x and y

Units digit is y

Tens digit = 10x

So, The number is 10x + y

Reversing the digits = 10y-x

Difference = 3

The new number diminished by 27

According to the given question

10x + y - 10y - x = -27

9x - 9y = -27

9(x - y) = -27

x - y = -3

So, x - y = -3

Reversing y - x = 3.

Ten digit number should be more than the units digit. so , we can choose y = 9 and x = 6 that equals to 96.

The difference between these two numbers is 3 .

9 - 6 = 3.

On , Reversing the digits , The new number diminished by 27 than the original number .

Reverse of 96 = 69

96 - 69 = 27.

There would be other numbers as answers for this question such as, 85, 74, 63, 52, 41.

Hence : The Number Can be 96.

hope it helps u

itsbiswaa

Step-by-step explanation:

Answer 2

Step-by-step explanation:

the digits of number are X and Y

let the number be 10x+y

and the reversed number is 10y+x

X-Y=3 (given)

the possible numbers are

30,41,52,63,74,85,96

the number can be anyone from the above

check: 4-1=3 ,41-14 =27

similarly all will satisfy