sum of digits of two digit number is 8 if 18 is added the number then resultant number is equal to number obtained by reversing the digits of original number find the original number
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sum of digits of two digit number is 8 if 18 is added the number then resultant number is equal to number obtained by reversing the digits of original number find the original number
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x+y =8(equation 1)
numbers value is 10x+y
so 10x+y+18=10y+x
10x-x+18=10y-y
9x+18=9 y
x+2=y
we finally get x=y-2 (equation 2)
frm eq1
x+y=8
(y-2)+y=8
2y-2=8
y-1=4
y=5.
so x=3
hence the number is 35