The sum of the digits of a two digit number 11. if 63 is subtracted from the number, the get interchanged.what is the number
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let the digit on tens place be x
let the digit in ones place be y
therefore the number = 10x + y
according to the question x + y =11 ---------1
and 10x + y -63 = 10y + x
on solving we get =>x - y = 7 -------2
on adding eq 1 & 2
x = 9
on putting the value of x on eq 1
we get y = 2
let the digit in ones place be y
therefore the number = 10x + y
according to the question x + y =11 ---------1
and 10x + y -63 = 10y + x
on solving we get =>x - y = 7 -------2
on adding eq 1 & 2
x = 9
on putting the value of x on eq 1
we get y = 2
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