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
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!!
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.