Question

Given that the number 49y17 is divisible by 9, where y is a digit, what are the possible values of y?​

Answer 1

Answer:

The value of y is 6therefore 49617 is divisible by 9

Answer 2

Answer:

y = 6

Step-by-step explanation:

The law of the divisibility by 9 says that:

If a number is divisible by 9, then the sum of the of its digits is also divisible by 9.

In the number 49y17,

the sum of the digits = 4 + 9 + y + 1 + 7

the sum of the digits =21 + y

Multiples of 9 = 9, 18, 27, 36 ....

The next closes number that (21 + y) can take on is 27.

Find y:

21 + y = 27

y = 27 - 21

y = 6

Answer: y = 6