Question

a father is 5 times ad old as his son. In 18 years, the father will be twice as old as his son. how old is the father at present?
A. ​

Answer 1

Answer:

let the fathers age be x

the father age in present is = x√3

Answer 2

Given:

• Father is 5 times as old as his son.
• After 18 years,the father will be twice as old as his son.

To Find:

• How old is the father at present =?

Solution:

Let assume:

• Age of father be x.
• Age of son is x/5.

According to the question,

Here,after 18 years, the father will be twice as old as his son.

So add 18 both sides of equation.

$\sf \implies \: x + 18 = 2( \frac{x}{5} + 18) \\ \\ \sf \implies \: x + 18 = \frac{2x}{5} + 36 \\ \\ \sf \implies \: \frac{3x}{5} = 18 \\ \\ \sf \implies \: x = \frac{18 \times 5}{3} \\ \\ \sf \implies \: x = 30$

Therefore, The value of x is 30.

Now,put the value to find the ages of father and son.

• Age of father = x= 30 years.
• Age of son = x/5= 30/5=6 years.