Question

If [3X 74] is a number divisible by 9, then find the least value of x

Answer 1

Answer:

divisibility rule of 9 : -

if the sum of all the digits of a given number is 9 or a multiple of 9 like 9,18,27 ......etc

then the given number is divisible by 9.

given number = 3X74

sum of digits = 3+ X+7+4 = 14 + X .

the nearest number of 14+X , which is divisible by 9 is 18.

=>18= 14+X

=>18-14=X

=>4 = X.

therefore least value of X is 4.

Answer 2

The answer is 4

GIVEN

A number; 3X74 is divisible by 9

TO FIND

The least vue of X

SOLUTION

We can simply solve the above problem as follows;

We know that any number whose sum of digits is divisible by 9 then that number is also divisible by 9

Since, it is given;

3X74 is divisible by 9

Therefore,

3 + X + 7 + 4 = 14 + X is aslo divisible by 9

Now a number neat to 14 whic is divisible by 9 is 18

Thus,

14 + X = 18

X = 18-14

X = 4

Hence, The answer is 4

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