If 43y1 is a multiple of 3 where y is a digit. What is the value of y
Answers
Answer:
If 43y1 is a multiple of 3 where y is a digit. What is the value of y
The value of y = 1
Given :
43y1 is a multiple of 3 where y is a digit
To find :
The value of y
Concept :
Divisibility rule of 3 :
If the sum of the digits of a number is divisible by 3 , then the number is divisible by 3
Solution :
Step 1 of 3 :
Write down the given number
Here the given number is 43y1
Step 2 of 3 :
Find sum of the digits
The sum of the digits
= 4 + 3 + y + 1
= y + 8
Step 3 of 3 :
Find the value of y
We know that if the sum of the digits of a number is divisible by 3 , then the number is divisible by 3
Since 43y1 is a multiple of 3
So 43y1 is divisible by 3
⇒ y + 8 is divisible by 3
Since y is a digit
∴ y = 1
Hence the required value of y = 1
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