Question

if 32y 3 ,is a multiple of 9,where y is a digit ,what is the value of y.please give me answer fastly​

Answer 1

$\LARGE{ \underline{\underline{ \sf{Required \: answer:}}}}$

GiveN:

• 32y3 is a multiple of 9.

To FinD:

• Value of y?

Step-by-Step Explanation:

To find y, we should know the condition for divisibility of 9. The condition for divisibility of 9 is:

• A no. is divisible by 9 if the sum of digits of the number is divisible by 9 or is a multiple of 9.

According to the above condition,

Sum of the digits in 32y3 should be divisible by 9.

⇒ 8 + y is divisible by 9.

Here y is a single digit, Then the only chance of the number divisible by 9 is when:

• 8 + y = 9

Because the next multiple is 18 and y would have been 10 which is not possible. Hence,

$\huge{ \boxed{ \pink{ \sf{y = 1}}}}$

Explore more!!!

• Sometimes there can be multiple values of the unknown variable to be divisible by another number. In that case, we consider the least value of unknown variable.

For Example:

What should be the value of a for which 2a is divisible by 2?

Here Divisibility of 2 means the unit digit should be 0 or divisible by 2. Then possiblities are:

• a = 2,4,6,8,0

The least one is a = 0. Hence, This is the answer.