If 24a is a multiple of 9 then the value of a is
(a) 0 (6) 3
(C) 8 (d) 9
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Answer:
(C) 8
Step-by-step explanation:
If 24a is a multiple of 9 then the value of a is
Answered by
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✯Given :-
➝ 24a is a multiple of 9
✯To find :-
➝ The value of a
✯Solution :-
➜ We know that, a number is divisible by 9 if the sum of it's all the digits is a multiple of 9 (Divisibility rule of the number 9)
➜ Let the required number be x
➜ According to the question,
➙24a = 9x
➙2 + 4 + a = 9x
➙6 + a = 9x
➙x = 6 + a ÷ 9
➙x is a multiple of 9
➞ If a = 0, then ⁶⁄₉ is not divisible by 9
➞ If a = 8, then ¹⁴⁄₉ is not divisible by 9
➞ If a = 9, then ¹⁵⁄₉ is not divisible by 9
➞ If a = 3, then ⁹⁄₉ is Divisible by the number 9
✣ The value of a is 3 and the least value, which is possible for a is 3 ✣
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