Question
Download Solution PDFWhat is the value of k when the 8-digit number 4345k423 is divisible by 9?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
8-digit number = 4345k423
Number is divisible by 9
Formula used:
A number is divisible by 9 if the sum of its digits is divisible by 9
Calculation:
Sum of digits = 4 + 3 + 4 + 5 + k + 4 + 2 + 3
⇒ Sum = 25 + k
25 + k ≡ 0 (mod 9)
Find value of k such that (25 + k) is divisible by 9
Try values:
k = 2 → 25 + 2 = 27
∴ The correct value of k is 2
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