597**6 Is Divisible By Both 3 And 11. The Nonzero Digits In The Hundred’s And Ten’s Places Are Respectively?
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Let the given number be 597xy6.
Then (5+9+7+x+y+6)=(27+x+y) must be divisible by 3
And, (6+x+9)(y+7+5)=(xy+3) must be either 0 or divisible by 11. xy+3=0
=> y=x+3 27+x+y)
=>(27+x+x+3)
=>(30+2x)
=> x = 3 and y = 6.
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