Question

Mukund possesses Rs 50 more than what Sagar possesses. The product of the amount they have is 15,000. Find the amount each one has.

Answer 1

Let amount with Sagar be Rs x.
Amount with Mukund = Rs x + 50
The product of the amount they have is 15,000.
$$\begin{gathered} x\left(x+50\right)=15000 \\ \Rightarrow x^2+50x=15000 \\ \Rightarrow x^2+50x-15000=0 \\ \Rightarrow x^2+150x-100x-15000=0 \\ \Rightarrow x\left(x+150\right)-100\left(x+150\right)=0 \\ \Rightarrow \left(x-100\right)\left(x+150\right)=0 \\ \Rightarrow x=100,-150 \end{gathered}$$
But amount cannot be negative so,
Amount with Sagar = Rs 100 and that with Mukund is Rs 150.