A number consists of two digits. If the digits interchange places and the new number is added to the original number, then the resulting number will be divisible by:
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Let x & y resp. be the ten's and unit digits, So the no = 10x+y
No obtained by interchanging the digits = 10y+x
According to given condition, 10x+y + 10y+x = 11(x+y) ;that is divisible by 11
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