Question

A number when divided by the sum of $555$ and $445$ gives two times their difference as quotient and $30$ as remainder. The number is :

• A. $1220$
• B. $1250$
• C. $22030$
• D. $220030$

Answer 1

The correct option is D $220030$

Let the number be $n$.

It is given that $n$ is divided by the sum of $555$ and $445$ and the quotient is $2$ times their difference, therefore,

Quotient $=2(555-445)=2\times 110=220$

Now, the divsor is the sum $555+445=1000$ and the remainder is also given that is $30$.

We know that Dividend=Quotient$\times$Divisor$+$Remainder, thus we have:

$n=220\times 1000+30=220000+30=220030$

Hence, the number is $220030$.