Question

if 25y5 is a multiple of 9 where y is a digit , what is the value of y​

Answer 1

Answer:

The value of y is 6

Explanation:

Divisibility by 9: If the sum of all the digits of a number is divisible by 9, then the number is divisible by 9.

If 25y5 is a multiple of 9, then sum of 2,5,y and 5 should be divisible by 9. Here, y should be between 0 and 9 and it should be a positive integer.

⟹ 2 + 5 + y + 5 = 9

⟹ 12 + y = 9

⟹ y = 9 - 12

⟹ y = -3

it's not possible. y should be a positive integer

⟹ 2 + 5 + y + 5 = 18

⟹ 12 + y = 18

⟹ y = 18 - 12

⟹ y = 6

it's possible, value of y could be 6

⟹ 2 + 5 + y + 5 = 27

⟹ 12 + y = 27

⟹ y = 27 - 12

⟹ y = 15

it's not possible, Value of y should be a single digit.

The only possible value of y is 6