SOLUTION: A father and the ages of his three children are prime numbers. The sum of their ages is 50. After n years, the total of the three children ages will become twice as the father's ag

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Question 927401: A father and the ages of his three children are prime numbers. The sum of their ages is 50. After n years, the total of the three children ages will become twice as the father's age. What is the value of n?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
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f + x + y + z = 50
x + y + z + 3n = 2(f+n)
........
f + x + y + z = 50
f = 29
x + y + z = 21, Childen: 1, 7, 13
21 + 3n = 2(29+n)
n = 58 - 21 = 37 years
And...in 37 years...
38 + 44 + 50 = 2(29+37) = 132 checks