Question

The 3-digit number 3y1 is divisible by 9. Find the value of y and the number.​

Answer 1

Answer:

the divisibility rule is sum of all digits is to be divisible by 9

So , 3 + y + 1 = 9

4 + y = 9

y = 9 - 4

= 5

Answer 2

Answer:

∴ The value of $y$ is $5$ and the resulting number is $351$.    

Step-by-step explanation:

• In context to question asked,
• We have to find the value of $y$ in a number $3y1$ which is divisible by $9$.
• We know the divisibility property of $9$.
• It states that sum of digits of a number is divisible by $9$, then the whole number is divisible by $9$.
• So, the sum of digits in a number becomes,

       $3+y+1=9$

         ∴ $4+y=9$

• Transpose $4$ to other side, we get

          ∴ $y=9-4$

          ∴ $y=5$

• ∴ The value of $y$ is $5$ and the resulting number is $351$.