rohan brother is 4 years older than him after 3 years product of their ages will be 96 find the present ages of rohan and his brother
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Answer:
Rohan's present age is 5years and his brother's age is 9 years
Step-by-step explanation:
Given : Rohan brother age = Rohan's age + 4
After 3 years, (Rohan age +3)( Brother's age + 3) = 96
Preset age of rohan = ? and brother age = ?
Solution : Let Rohan's age be X
Rohan's brother age = X + 4
After 3 years,
(Rohan age +3)( Brother's age + 3) = 96
(X +3) ( X+4+3) = 96
(X+3)(X+7) = 96
X² +10X + 21 = 96
X² +10X - 75 = 0
X²+15x-5X-75 = 0
X(X+15)-5(X+15) = 0
(X+15)(X-5) = 0
X+15 = 0 or X-5=0
X = -15 or X=5
As age can not be taken negative, ∴ X=5
Rohan's present age is 5years and his brother's age is X+4 = 9 years
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