The present age of a father is 10years more than the thirce of the present age of his son after how many years will the father become thrice as old as the son's age at that time.
Answers
Answer:
After 5 years, father will be thrice as old as his son's.
Step-by-step explanation:
Given :
The present age of a father is 10 years more than the thrice of the present age of his son.
To find :
after how many years the age of father becomes thrice as old as the son's age
Solution :
Let the present age of father be x years and the present age of his son be y years.
The present age of a father is 10 years more than the thrice of the present age of his son.
x = 3y + 10
Let's assume after 'a' years the father becomes thrice as old as the son's age at that time.
After 'a' years,
father's age = (x + a) years
his son's age = (y + a) years
As given, father's age = 3 times his son's age
x + a = 3(y + a)
x + a = 3y + 3a
3a - a = x - 3y
2a = x - 3y
Substitute x = 3y + 10,
2a = 3y + 10 - 3y
2a = 10
a = 10/2
a = 5
∴ After 5 years, father will be thrice as old as his son's age.