Question

Mukund possesses Rs50 more than what Sagar possesses. The product of the amount they have is 15,000. Find the amount each one has.

Answer 1

Answer:

Mukund = Rs 150

Sagar = Rs 100

Step-by-step explanation:

Define x:

Let thh amount Sagar has be x

Mukund has (x + 50)

Solve x:

The product is 15000

x(x + 50) = 15000

x² + 50x - 15000 = 0

(x - 100)(x + 150) = 0

x = 100 or x = - 150 (rejected, since it cannot be negative)

Find out the amount each has:

Sagar = x = Rs 100

Mukund = x + 50 = 100 + 50 = Rs 150

Answer: Mukund has Rs 150 and Sagar has Rs 100

Answer 2

Answer:

Mukund has Rs. 150.00

Sagar has Rs. 100.00

Step-by-step explanation:

Amount with Sagar = x

Amount with Mukund = x + 50

Given, Product of amount = 15,000

Therefore (x) (x+50) = 15,000

X^2 + 50x = 15,000

x^2 + 50x - 15,000 = 0

Using 'Split the Middle Term':

x^2 + 150x - 100x - 15,000 = 0

x (x+150) - 100 (x+150) = 0

(x - 100) (x + 150)

x = 100; x = -150

Since money can only be in positive value, x = 100