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
Algebra.Com
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) (Show Source): You can put this solution on YOUR website!
1 2 3 5 7 11 13 17 19 23 29 31 37 41 43 47
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
RELATED QUESTIONS
Marco is in elementary school. His father is 30 years older than Marco, and his mother is (answered by greenestamps)
Marco is in elementary school. His father is 30 years older than marco, and his mother... (answered by ankor@dixie-net.com)
The sum of the ages of a man and his wife is six times the sum of the ages of their... (answered by ankor@dixie-net.com)
The total ages of a father and son now is 50 years .after 10 years their ages will be in... (answered by richwmiller)
A father is three times his daughter's age. In 10 years time the sum of their ages will... (answered by Cromlix)
a father is 42 years old. His children were 6 years, 8 years and 12 years. How old will... (answered by ankor@dixie-net.com)
the present age of father is equal to the sum of ages of his 5 children. 12 years hence,... (answered by macston)
the sum total of the ages of father and son is 55 years. if the father was to live till... (answered by ankor@dixie-net.com)
The Sum Of ages of a father and his son is 60.
2 years ago the age of the father was... (answered by Cromlix)