Question
If the number 10293y8 is divisible by 11, then what is
the value of y?Solution
To determine if the number 10293y8 is divisible by 11, we apply the divisibility rule for 11: Calculate the alternating sum and difference: S1-0-2-93-y+8 Simplifying- S=(1+2+3+8)-(0+9+y) S=14-9-у S=5-y For the number to be divisible by 11, S must be divisible by 11 or equal to 0. Therefore: 5- y = 0 (mod 11) y =5.
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