Answer

Verified

447.6k+ views

**Hint:**Place the given digits it’s over, tenth and hundredth accordingly and then four equation. The first digit after the decimal represents the tenths place. The next digit after the decimal represents the hundredths place. The remaining digits continue to fill in the place values until there are no digits left.

**Complete step by step solution:**Let x be the digit in the units place and be the digit in the hundreds of places.

Then, since the digits are Tunis places is 0, the number will be represented by $100y+x.$

If the digits are severed the numbers so formed will be represented by $100x+y.$

Therefore:

$100x+y-\left( 100+x \right)=495$

Or $100x+y-100y-x=495$

Or $99x-99y=495$

Or $x-y=5$ ①

Now since the sum of the other digits is 11, and the middle one is 0, we have.

$x+y=11$ ②

From ① and ②, we get.

$\left( x-y \right)+\left( x+y \right)=5+11$

Or, $2x=16$

Or, $x=8.$

Putting value of \[x\ \text{in}\ \ \text{eq}\]①

$

\text{so,} \;x-y=5 \\

\&, \;8-y=5 \\

\&, \;8-5=y\ \Rightarrow y=3. \\

$

Hence the numbers is 308.

**Therefore the answer is C option.**

**Note:**In this type of question, place the digits according to place asked its question and then follow the techniques. Depending upon the position of a digit in a number, it has a value called its place value. For example, the place value of the digit 6 in the number 1673 is 600 as 6 is in the hundreds place. However, if we interchange the digits 6 and 7 in the number 1673, we get a new number 1763. In 1763 the place value of the digit 6 is 60 as it is in the tens place.

Recently Updated Pages

How many sigma and pi bonds are present in HCequiv class 11 chemistry CBSE

Mark and label the given geoinformation on the outline class 11 social science CBSE

When people say No pun intended what does that mea class 8 english CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Give an account of the Northern Plains of India class 9 social science CBSE

Change the following sentences into negative and interrogative class 10 english CBSE

Trending doubts

Which are the Top 10 Largest Countries of the World?

Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

How do you graph the function fx 4x class 9 maths CBSE

The Equation xxx + 2 is Satisfied when x is Equal to Class 10 Maths

One Metric ton is equal to kg A 10000 B 1000 C 100 class 11 physics CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE

Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE

Why is there a time difference of about 5 hours between class 10 social science CBSE