If the average of the ages of Rakesh and Moha | vedclass

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(C) Let the ages of Rakesh,Mohan,and Ramesh be $R$,$M$,and $S$ respectively.Given:$(R + M) / 2 = 15 \implies R + M = 30$ (Equation $1$)$(M + S) / 2 =

Vedclass · Accepted Answer

$14$

Vedclass · Answer

(C) Let the ages of Rakesh,Mohan,and Ramesh be $R$,$M$,and $S$ respectively.Given:$(R + M) / 2 = 15 \implies R + M = 30$ (Equation $1$)$(M + S) / 2 = 12 \implies M + S = 24$ (Equation $2$)$(R + S) / 2 = 13 \implies R + S = 26$ (Equation $3$)Adding all three equations:$(R + M) + (M + S) + (R + S) = 30 + 24 + 26$$2(R + M + S) = 80$$R + M + S = 40$ (Equation $4$)To find the age of Mohan $(M)$,subtract Equation $3$ from Equation $4$:$M = (R + M + S) - (R + S)$$M = 40 - 26 = 14$Therefore,the age of Mohan is $14$ years.

If the average of the ages of Rakesh and Mohan is $15$,the average of the ages of Mohan and Ramesh is $12$,and the average of the ages of Rakesh and Ramesh is $13$,then what is the age of Mohan?

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