tell the answer of this . correct one . i will mark him / her brainiest . plz give explanation
Answers
Answer:
Son's age = 20 years
Father's age = 40 years.
Explanation :
Question says that,
Son's age is ½ of his father's age.
10 years ago, father was thrice the age of his son.
Find their present age.
Let's take present of father as x years.
Then, son's age would be (½ of x) years.
10 years ago their age :
- Father's = (x - 10) years.
- Son = (x/2 - 10) years.
Now,
Father is thrice the age of son.
According to the question :
→ 3(x/2 - 10) = (x - 10)
Solving for ‘x’ -
→ 3*(x - 20)/2 = (x - 10)
→ 3x - 60/2 = (x - 10)
→ 3x - 60 = 2x - 20
→ 3x - 2x = 60 - 20
→ x = 40
∴ The value of ‘x’ is 40
Hence, their age of :
- Father = x = 40 years.
- Son = ½ of 40 = 20 years.
Answer:
let the present age= x
so according to the question
father's age is x-10
son's age is x/2-10
so father's age is thrice the son's age
so
(x-10)=3(x/2-10)
x-10 = 3x-60/2
2(x-10)=3x-60
2x-20=3x-60
x=40
father's age=40
son's age=20