If the number 7254*98 is divisible by 9 then * is
Answers
Answer:
divisibility rule of 9 is that sum of all the digits in the number is divided by 9
Step-by-step explanation:
so let us consider that * as x
7+2+5+4+x+9+8=35+x if x=1 then it will be 36 and it is divisible by 9 so the answer is 1
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The digit at * is 1
Given :
7254*98 is divisible by 9
To find :
The digit at *
Concept :
Divisibility rule of 9 :
If the sum of the digits of a number is divisible by 9 , then the number is divisible by 9
Solution :
Step 1 of 3 :
Write down the given number
Here the given number is 7254*98
Let the digit in * is y
Then the number becomes 7254y98
Step 2 of 3 :
Find sum of the digits
The sum of the digits
= 7 + 2 + 5 + 4 + y + 9 + 8
= y + 35
Step 3 of 3 :
Find the value of y
We know that if the sum of the digits of a number is divisible by 9, then the number is divisible by 9
Since 7254*98 is divisible by 9
So 7254y98 is divisible by 9
⇒ y + 35 is divisible by 9
Since y is a digit
∴ y = 1
Hence the digit at * is 1
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