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

please tell me the answer is 74 explain it ​

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.

Step-by-step explanation:

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