amit is 24 years older than his son. after 11 years, he will be thrice the age of his son. find the age of the son two years from now.
pls give a step by step explanation first ans iis brainliest
Answers
Answered by
13
Given:-
- Amit is 24 years older than his son.
- After 11 years he will be thrice the age of his son.
To Find:-
- The age of sone two years from now.
Assumption:-
- Let the age of Son be x years
- Age of Amit = (x + 24) years
Solution:-
After 11 years
Age of Son = (x + 11) years
Age of Amit = (x + 11 + 24) = (x + 35) years
ATQ,
Age of Amit will be 3 times as the age of his son after 11 years. Hence,
3(x + 11) = x + 35
=> 3x + 33 = x + 35
=> 3x - x = 35 - 33
=> 2x = 2
=> x = 2/2
=> x = 1
Now,
Age of son = x = 1 years
Now,
As we are asked to find the age of son after 2 years from the present.
After 2 years,
Age of son = x + 2 = 1 + 2 = 3 years
Therefore Age of son 2 years from the present will be 3 years.
________________________________
Similar questions