Question

Ambika possesses ₹ 5 less than what Dinesh possesses. The product
their amount is ₹ 204. Find the amount each one has​

Answer 1

The amount Ambika possesses is Rs. 12 and the amount Dinesh possesses is Rs. 17.

• Let the amount Ambika possess be x.
• Now the amount Dinesh will be x+5.
• Now the product of their amount is 204.

x(x+5) = 204

$x^{2} +5x - 204 = 0$

On solving the quadratic equation , we get

x = 12 and x = -17

• As the amount cannot be negative therefore, the value of x cannot be -17.
• The value of x is 12.
• Therefore, the amount Ambika possess is Rs. 12 and the amount Dinesh possess is Rs. 17.