the difference between a 2 digit no. And the number obtained by reversing the digits is 45 . if sum of the digit of the original no.is 13 .then find the no.
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Step-by-step explanation:
Let the obtained number be xy.
It can be written as 10x + y
As x is in tens place and y is in unit place
The the reverse of the number is given by 10y + x
Given 10x + y - ( 10y + x ) = 45
We get 9x - 9y = 45
x - y = 5 ...(a)
Given x + y = 13 ...(b)
Add a and b , we get 2x = 18
x = 9
Substitute x value in a or b , we get
y = 4
Therefore the possible numbers are 94 or 49
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