the sum of the digits of two digit number is 10 the number obtained by the interchanging the digits exceeds the original number by 36 find the original number.
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the sum of the digits of two digit number is 10 the number obtained by the interchanging the digits exceeds the original number by 36 find the original number.
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And Unit place digit be b
a + b = 10 --------(1)
10a + b + 36 = 10b + a
=> 9a - 9b = - 36
=> a - b = - 4 --------(2)
Adding equation 1 and 2, we get
2a = 6
a = 3
Now, On putting the value of a in equation 1, we get
b = 7
Required number = 37