Question

If 37y4 is exactly divisible by 9 , find the least value of y .

Answer 1

37y4 is divisible by 9

⇒3+7+y+4 is divisible by 9

i.e. 14+y is divisible by 9

⇒14+y=9 or 18 or 27, .......

i.e. y = 9 - 14 or 18 - 14or 27 - 14, ...........

= -5,4,13, ..........

Since, x is a positive digit, therefore x = 4