Math, asked by Gagan2023, 11 months ago

The product of the ages of the ankit and nikitha is 240.If twice the age of nikitha ismore than ankit's age by 4years. What is nikitha's age

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Answered by Anonymous
4
3 answers · Mathematics 

 Best Answer

let a & n be the current age of Ankit & Nikita respectively: 

a * n = 240 

2n = a + 4 => a = 2n - 4 

n(2n - 4) = 240 

2n^2 - 4n - 240 = 0 

n^2 - 2n - 120 = 0 

(n + 10)(n - 12) = 0 

n = -10 , 12 => reject the negative age: 

n = 12 years old 

let's check: 
a = 240/12 = 20 years old 
2 * 12 = 20 + 4 
24 = 24 

Answered by Anonymous
5
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