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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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
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
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