Find all possible values of y for which the 4-digit number 64y3 is div

1.	Find all possible values of y for which the 4-digit number 64y3 is divisible by 9. Also, find the numbers.
Answer» We know that if sum of digits of a number is divisible by 9, then the number is divisible by 9. Here, 6 + 4 + y + 3 = multiple of 9 y + 13= 0, 9, 18, … Hence, y + 13 = 18 ∴ y = 5 The number will be 6453.

Find all possible values of y for which the 4-digit number 64y3 is divisible by 9. Also, find the numbers.

Answer»

We know that if sum of digits of a number is divisible by 9, then the number is divisible by 9.

Here,

6 + 4 + y + 3 = multiple of 9

y + 13= 0, 9, 18, …

Hence,

y + 13 = 18

∴ y = 5

The number will be 6453.