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प्रश्न
Mukund has ₹ 50 more than Sagar. If the product of the amount they have is 15,000, then find the amount each has
उत्तर
Let Sagar possesses ₹ x.
∴ The amount Mukund possesses = ₹ (x + 50)
According to the given condition, the product of the amount they have is ₹ 15,000.
∴ x(x + 50) = 15000
∴ x2 + 50x – 15000 = 0
| -15000 |
| 150 -100 |
| 150 × (-100) = -15000 |
| 150 - 100 = 50 |
∴ x2 + 150x – 100x – 15000 = 0
∴ x(x + 150) – 100(x + 150) = 0
∴ (x + 150)(x – 100) = 0
By using the property, if the product of two numbers is zero, then at least one of them is zero, we get
x + 150 = 0 or x – 100 = 0
∴ x = –150 or x = 100
But, amount cannot be negative.
∴ x = 100 and x + 50 = 100 + 50 = 150
∴ The amount possessed by Sagar and Mukund are `100 and `150 respectively.
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