How many three digit numbers is there such that when middle digit remo

1.	How many three digit numbers is there such that when middle digit removed they become a two digit number is 1/9 of the three digit number
Answer» <P>Answer: Let the 3 digit NUMBER be: XYZ. As per the question, we have to find the DIVISIBILITY of number P (let), P=(100X+10Y+Z)(X+Y+Z) P=(99X+9Y) P=9(11X+Y) which is divisible by 9. So, if the sum of three digit number is SUBTRACTED from the number. The resulting number is always divisible by 9

How many three digit numbers is there such that when middle digit removed they become a two digit number is 1/9 of the three digit number

Answer»

<P>Answer:

Let the 3 digit NUMBER be: XYZ.

As per the question, we have to find the DIVISIBILITY of number P (let),

P=(100X+10Y+Z)(X+Y+Z)

P=(99X+9Y)

P=9(11X+Y)

which is divisible by 9.

So, if the sum of three digit number is SUBTRACTED from the number. The resulting number is always divisible by 9

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How many three digit numbers is there such that when middle digit removed they become a two digit number is 1/9 of the three digit number​

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How many three digit numbers is there such that when middle digit removed they become a two digit number is 1/9 of the three digit number