Question

Sumitra has $Rs.34$ in $50$-paise and $25$-paise coins. If the number of $25$-paise coins is twice the number of 50-paise coins, how many coins of each kind does she have?

Answer 1

Let the numbers of $50$ paise coins and $25$ paise coins be $x$ and $2x,$ respectively.

Then, we have: $50x+25\left(2x\right)=3400\left(\text{All in paisa}\right)$

$\Rightarrow 50x+50x=3400$

$\Rightarrow 100x=3400$

$\Rightarrow x=34$

$\therefore$ Number of $50$ paise coins $=34$

and, number of $25$ paise coins $=68$