Question

The age of a father is equal to the sum of the ages of his 5 children. After 15 years, sum of the ages of the children will be twice the age of the father. Find the age of father. ​

Answer 1

ANSWER

60 YEARS

Step-by-step explanation:

Suppose that father's present age = x years

Suppose that sum of present ages of children is y years.

So according to the question,

---------(1)

After 15 years,

Father's age = (x + 15) years

Sum of children's age = y + (15×6)

=> Sum of children's age = (y + 90) years

Since after 15 years,

Twice the age of father is sum of ages of children.

=> 2 (x + 15) = (y + 90)

=> 2x + 30 = y + 90

=>  ----------(2)

According to the equation (1),

x = y

So putting y = x in equation (2),

=> 2x - x = 60

=> x = 60

Answer 2

Let the ages of the 5 children now be x.

The age of the father now  =x

Tweleve years hence the sume of the ages of the five children  =x+5(15)

=x+75

Ages of the father twelve years hence =x+15

x+75=2(x+15)

x+75=2x+30

x=45

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