# Ram is two years older than Shyam who is twice as old as Mohan. If the total ages of Ram, Shyam and Mohan are 27, then how old is Shyam?

Answer

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Hint: Start with Mohan. Let Mohan’s age be something. Then follow the question word by word.

Complete step-by-step answer:

Let Mohan’s age be $x$vyears. Then, Shyam’s age is $2x$ years and so Ram’s age will be

$2x + 2$ years. Now according to the question, the sum of all is 27. So,

$

2x + 2 + 2x + x = 27 \\

\Rightarrow 5x = 27 - 2 \\

\Rightarrow 5x = 25 \\

\Rightarrow x = \dfrac{{25}}{5} \\

\Rightarrow x = 5 \\

$

Hence, Mohan’s age is 5 years and Shyam’s age is $2x = 2 \times 5 = 10$years.

Note: In these kinds of word problems it’s recommended to let that think, which is directly or indirectly connected to all. If we let that thing then other things are pretty obvious.

Complete step-by-step answer:

Let Mohan’s age be $x$vyears. Then, Shyam’s age is $2x$ years and so Ram’s age will be

$2x + 2$ years. Now according to the question, the sum of all is 27. So,

$

2x + 2 + 2x + x = 27 \\

\Rightarrow 5x = 27 - 2 \\

\Rightarrow 5x = 25 \\

\Rightarrow x = \dfrac{{25}}{5} \\

\Rightarrow x = 5 \\

$

Hence, Mohan’s age is 5 years and Shyam’s age is $2x = 2 \times 5 = 10$years.

Note: In these kinds of word problems it’s recommended to let that think, which is directly or indirectly connected to all. If we let that thing then other things are pretty obvious.

Last updated date: 16th Sep 2023

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