If a number 774958A96B is divisible by 8 and 9, the respectively values of A and B will beOptionsNone7 and 85 and 88 and 0
Question
If a number 774958A96B is divisible by 8 and 9, the respectively values of A and B will beOptionsNone7 and 85 and 88 and 0
Solution
To find the values of A and B, we need to understand the divisibility rules of 8 and 9.
- A number is divisible by 8 if the last three digits of the number form a number that is divisible by 8.
- A number is divisible by 9 if the sum of its digits is divisible by 9.
Let's apply these rules to the number 774958A96B.
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For the number to be divisible by 8, the last three digits (A96B) must form a number divisible by 8. The only possible values for A and B that satisfy this condition are A=5 and B=6.
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For the number to be divisible by 9, the sum of its digits must be divisible by 9. If we add up the known digits, we get 7+7+4+9+5+8+9+6=55. If A=5 and B=6, the sum of the digits becomes 55+5+6=66, which is divisible by 9.
Therefore, the values of A and B that make the number 774958A96B divisible by both 8 and 9 are A=5 and B=6.
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