SOLUTION: A man age is 4 times the total age of of 3 sons .after 8 yrs ,his age would be twice the total age of his 3 sons .if the total present of 3 sons is x yrs . find the age of man
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Question 1058030: A man age is 4 times the total age of of 3 sons .after 8 yrs ,his age would be twice the total age of his 3 sons .if the total present of 3 sons is x yrs . find the age of man
Answer by solve_for_x(190) (Show Source): You can put this solution on YOUR website!
If the father's age is four times the current sum of the children's ages, x, then
the father's age can be represented by 4x.
In 8 years, the father's age will be 4x + 8.
The sum of the children's ages will be x + 24, since each of the three children will be 8 years older.
Since the father's age will be twice the sum of the children's ages, you can write:
4x + 8 = 2(x + 24)
4x + 8 = 2x + 48
4x - 2x + 8 = 48
2x + 8 = 48
2x = 48 - 8
2x = 40
x = 20
The current age of the man is 4x = 4(20) = 80 years old.
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