Question
If a nine-digit number 389x6378y is divisible by 72,
then the value of โ(6x + 7y) will beโถSolution
Divisibility law of 8 โ A number divisible by 8 if its last three digits are divisible by 8. Divisibility law of 9 โ A number is divisible by 9 if sum of its digit is divisible by 9. Nine-digit number 389x6378y is divisible by 72, so number also divisible by 8 and 9 also. 78y divisible by 8 if y = 4 so number become 389x63784 Nine-digit number 389x63784 divisible by 9 if sum of its digit divisible by 9. โ 3 + 8 + 9 + x + 6 + 3 + 7 + 8 + 4 โ 48 + x If we put x = 6, the number become 54 which is divisible by 9. So, x = 6 and y = 4 Now, โ(6x + 7y) โ โ(6 ร 6 + 7 ร 4) โ โ(36 + 28) โ โ64 โ 8
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