What should be the value of in 985*865, if number is divisible by 9
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Answer:
: If a number is divisible by 9, the sum of digits is also divisible by 9
9 + 8 + 5 + * + 8 + 6 + 5 = 9x
41 + * = 9x
Nearest value of 9x must be 45
41 + * = 45
* = 4
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The value of * is 4 in 985*865, if the number is divisible by 9.
concept :
- divisibility of 9 : if the sum of all digits of a number is divisible by 9, then number must be divisible by 9.
- for example, let's take a number 4753229 is divisible by 9 or not.
- sum of all digits = (4 + 7 + 5 + 3 + 2 + 2 + 9) = 32 , it is obvious that 32 isn't divisible by 9.
- hence, 4753229 is not divisible by 9.
A/C to question,
985*865 is divisible by 9.
∴ sum of digits of number = (9 + 8 + 5 + * + 8 + 6 +5) = 41 + * ,
(41 + *) must be divisible by 9.
we know, 9 × 5 = 45 , so if we put * = 4 , then (41 + 4) = 45 , is divisible by 9.
Therefore the value of * is 4.
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