Question

Answer: 1
Q.15 The product of the ages of Sagun and Srishti is 240. If twice the age of Srishti is more than Sagun's age by 4 years, then what is Sris
1. 15
2. 12
3. 10
4. 20​

Answer 1

Answer:

Srishti age is 12 (option b)

Step-by-step explanation:

Assume age of sagun= x

Assume age of srishti = y

Given that, product of ages = 240

∴ x * y = 240 …………………………………………….. (Equation 1)

Next condition is that, twice the age of Srishti is more than sagun age by 4 years

∴2y = x + 4

∴ x = 2y - 4

put above value of x in (Equation 1)

∴ (2y - 4) * y = 240

∴ 2y^2 - 4y - 240 = 0

To solve this Quadratic Equation :

∴ 2y^2 - 24y + 20y - 240 = 0

∴ 2y(y - 12) + 20(y - 12) = 0

∴ (y - 12)(2y + 20) = 0

∴ y - 12 = 0 OR y = -20 / 2 = -10

∴ y = 12 OR y = -10

Negative age can not be considered therefore y = -10 can not be considered

Therefore Srishti age is 12

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