What least digit replaces to * so that the number 653*47 is divisible by 11 ?
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If the difference of the sum of alternate numbers is 0 or a multiple of 11, it is divisible by 11.
Here, 653*47
Difference of sum of alternate digits should be 0 or multiple of 11. For a least number it should be 0
(6+3+4) - (5+*+7) = 0
13 - (12 + *) = 0
13 - 12 - * = 0
1 - * = 0
So, * = 1
Therefore, the least digit to replace * is 1 to make it divisible by 11.
Thus, the number becomes 653147.
★★ HOPE THAT HELPS ☺️ ★★
Here, 653*47
Difference of sum of alternate digits should be 0 or multiple of 11. For a least number it should be 0
(6+3+4) - (5+*+7) = 0
13 - (12 + *) = 0
13 - 12 - * = 0
1 - * = 0
So, * = 1
Therefore, the least digit to replace * is 1 to make it divisible by 11.
Thus, the number becomes 653147.
★★ HOPE THAT HELPS ☺️ ★★
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