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The average of the ages of father and son is 25 years. Also, thrice the age of son is less than father’s age by two years, then find the age of son.1. 12 years2. 18 years3. 15 years4. 20 years5. 19 years |
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Answer» Correct Answer - Option 1 : 12 years Given : The average age of father and son =25 years. Solution: Let the present age of father and son be F and S respectively. ⇒ (F + S)/2 = 25 ⇒ F + S = 50 ----(1) Also, thrice the age of son is less than father’s age by two years. ⇒ 3S = F – 2 ⇒ F – 3S = 2 ----(2) From equation(2), we get: F = 2 + 3S ----(3) Using equation(3) in equation (1), we get: ⇒2 + 3S+ S = 50 ⇒ 4S= 48 ⇒ S = 48/4 = 12 ∴ The age of the son is 12 years. |
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