Dashrath and Naresh are friends. Naresh is 2 years younger than Dashrath. If the sum of their age is 56 years. Find their present age. A. Naresh 27 years, Dashrath 29 years. B. Naresh 37 years, Dashrath 29 years. C. Naresh 27 years, Dashrath 39 years. D. Naresh 47 years, Dashrath 29 years.
ANSWER
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Hint: Age relation questions can always be preceded by assuming the age of one of the individuals as x and the age of the other comes automatically when relation of age between them is given.
Complete Step-by-Step solution: To solve such types of questions we go for assuming the age of one of the people as x and then try to calculate what the age of the other is in terms of x. Given that Naresh is 2 years younger than Dashrath. Let the age of Naresh be x years, then the age of Dashrath would be x + 2, because Naresh is 2 years younger than Dashrath. Now given that the sum of age of Naresh and Dashrath is 56 years, \[\begin{align} & \Rightarrow x\text{ }+\text{ }x\text{ }+\text{ }2\text{ }=\text{ }56 \\ & \Rightarrow 2x+2=56 \\ & \Rightarrow 2x=56-2 \\ & \Rightarrow 2x=54 \\ & \Rightarrow x=\dfrac{54}{2}=27 \\ \end{align}\] Hence, we get the age of Naresh is x = 27 years. Now we proceed to find the value of x + 2 which is x + 2 = 27 + 2 = 29. Hence, we obtain the age of Dashrath is 29 years. Therefore, the age of Naresh is 27 years and of Dashrath is 29 years, that is option (a).
Note: The possibility of error in the question is assuming the given statements in a wrong manner, which can lead to reversed ages of both the individuals, which gives the incorrect ages of them.