Five years ago,the sum of the ages of five pe | vedclass

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(A) Let the current ages of the five persons be $x_1, x_2, x_3, x_4,$ and $x_5$.Five years ago,the sum of their ages was $(x_1 - 5) + (x_2 - 5) + (x_3

Vedclass · Accepted Answer

$100$

Vedclass · Answer

(A) Let the current ages of the five persons be $x_1, x_2, x_3, x_4,$ and $x_5$.Five years ago,the sum of their ages was $(x_1 - 5) + (x_2 - 5) + (x_3 - 5) + (x_4 - 5) + (x_5 - 5) = 50$.This simplifies to $(x_1 + x_2 + x_3 + x_4 + x_5) - 25 = 50$,which means the current sum of their ages is $x_1 + x_2 + x_3 + x_4 + x_5 = 75$.After five years,the sum of their ages will be $(x_1 + 5) + (x_2 + 5) + (x_3 + 5) + (x_4 + 5) + (x_5 + 5)$.This is equal to $(x_1 + x_2 + x_3 + x_4 + x_5) + 25$.Substituting the current sum,we get $75 + 25 = 100$ years.

Five years ago,the sum of the ages of five persons was $50$ years. After five years,the sum of the ages of those five persons will be $\ldots \ldots \ldots \ldots$ years.

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