Math, asked by sonuyadav3301sy, 7 months ago

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

Answers

Answered by Itzraisingstar
2

Answer:

Step-by-step explanation:

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 you!!

Answered by shivakumar0820
0

Answer:

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Step-by-step explanation:

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.

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