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.

\[x\left( x + 50 \right) = 15000\]
\[ \Rightarrow x^2 + 50x = 15000\]
\[ \Rightarrow x^2 + 50x - 15000 = 0\]
\[ \Rightarrow x^2 + 150x - 100x - 15000 = 0\]
\[ \Rightarrow x\left( x + 150 \right) - 100\left( x + 150 \right) = 0\]
\[ \Rightarrow \left( x - 100 \right)\left( x + 150 \right) = 0\]
\[ \Rightarrow x = 100, - 150\]

But amount cannot be negative so,
Amount with Sagar = Rs 100 and that with Mukund is Rs 150.