SOLUTION: the present age of a father is equal to the sum of ages of his 5 children. 12 years hence the sum of ages of his children will be twice the age of their father. find the present ag

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Question 744574: the present age of a father is equal to the sum of ages of his 5 children. 12 years hence the sum of ages of his children will be twice the age of their father. find the present age of the father.
Found 4 solutions by lynnlo, ankor@dixie-net.com, ikleyn, josgarithmetic:
Answer by lynnlo(4176) About Me  (Show Source):
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
the present age of a father is equal to the sum of ages of his 5 children.
f = a+b+c+d+e
:
12 years hence the sum of ages of his children will be twice the age of their father.
a+12 + b+12 + c+12 + d+12 + e+12 = 2(f+12)
a+b+c+d+e + 60 = 2f + 24
Replace a+b+c+d+e with f
f + 60 = 2f + 24
60 - 24 = 2f - f
36 = f
:
find the present age of the father. He's 36 yrs old

Answer by ikleyn(53427) About Me  (Show Source):
You can put this solution on YOUR website!
.
the present age of a father is equal to the sum of ages of his 5 children.
12 years hence the sum of ages of his children will be twice the age of their father.
find the present age of the father.
~~~~~~~~~~~~~~~~~~~~~~~~~~

Let x be the present age of the father.

According to the problem, x is equal to the sum of the 5 his children, at the same time.


12 years later, the sum of ages of 5 children will be  x+5*12 = x+60 years.

At that time the age of the father will be x+12 years.


The problem says that

    2(x+12) = x + 5*12.


To find x, simplify this equation step by step

    2x + 24 = x + 60

    2x - x = 60 - 24

       x   =    36.


ANSWER.  The father is 36 years old now.

Solved.



Answer by josgarithmetic(39702) About Me  (Show Source):
You can put this solution on YOUR website!
FIVE children, one father
y, age of father
C, sum of ages of the five children

system%28y=C%2C2%28y%2B12%29=C%2B5%2A12%29---------the description

system%28y=C%2C2y%2B24=C%2B60%29
Using second equation
2y=C%2B36
substituting for C,
2y=y%2B36
highlight%28y=36%29 father's current age