Question

The difference between two numbers is $4,423,865$. If the larger of the two is $90,084,951$. Then, find the smaller number.

• A. $85,661,086$
• B. $86,661,086$
• C. $85,461,086$
• D. None of the above

Answer 1

The correct option is A $85,661,086$

Difference between the numbers $=4,423,865$
Larger number $=90,084,951$

As per the question,
Difference between two numbers $=4,423,865$
$\Rightarrow \text{Larger number}-\text{Smaller number}=4,423,865$

$\Rightarrow 90,084,951-\text{Smaller number}=4,423,865$

$\Rightarrow \text{Smaller Number}=90,084,951-4,423,865$

To find: $90,084,951-4,423,865$

First aligning both the numbers according to place value table,


For doing subtraction,
Ones digit of subtrahend must be subtracted from ones digit of minuend, tens digit of subtrahend must be subtracted from tens digit of minuend and so on.

First subtracting the digits at ones place, we get

$1-5$, which is not possible

Therefore, for subtracting digits at ones place, we will borrow $1$ tens from $5$ tens.

As we know that,

$1$ tens $=10$ ones

So, digit at tens place will become $10+1=11$ and digit at tens place will reduced to $5-1=4$. As depicted in figure below,


Now subtracting the digits at ones place, we get: $11-5=6$, as depicted in figure below,


Now, subtracting digit at tens place, $4-6$ which is not possible

Therefore, for subtracting Digits at Tens place, we will borrow $1$ Hundreds from $9$ Hundreds.

As we know that,

$1$ Hundreds $=10$ Tens

So, digit at Tens place will become $10+4=14$ and digit at hundred place will reduced to $9-1=8$. As depicted in figure below,


Now, subtraction of digits at tens place = $14-6=8$ as depicted in figure below,


Similar operations will be done for subtraction of rest of the places digits, as depicted in figure below,


Therefore, $90,084,951-4,423,865=85,661,086$

$\therefore$ Smaller number = $85,661,086$.

So, a. is the correct option.