ameens age is one fifth of his father's age after 6 years his age will be one third of his father's age how old are they now
Answers
Answer:
Now, age of Raja is 15th the age of his father, so Raja's age will be 305=6 years. Hence, age of Raja = 6 years and age of Raja's father = 30 years. Hence, required ages will be 6 years and 6×5=30 years.
Step-by-step explanation:
Given :-
Ameen's age is one fifth of his father's age after 6 years his age will be one third of his father's age.
To find:-
How old are they now ?
Solution :-
Let the present age of Ameen's Father's age be X years
Then the present age of Ameen
= 1/5th of his father's age
= (1/5) of X
=> (1×X)/5
=> X/5 years
Ameen's age = X/5 years
After 6 years :
His father's age = (X+6) years
Ameen's age = (X/5)+6
=> (X+30)/5 years
Given that
After 6 years his age will be one third of his father's age
=> (X+30)/5 = (1/3)×(X+6)
=> (X+30)/5 = (X+6)/3
On applying cross multiplication then
=> 5(X+6) = 3(X+30)
=> 5X+30 = 3X+90
=> 5X - 3X = 90 - 30
=> 2X = 60
=> X = 60/2
=> X = 30 years
His father's age = 30 years
Ameen's age = (1/5)×30
= 30/5
= 6 years
Answer:-
The present age of Ameen = 6 years
The present age of his father = 30 years
Check :-
The present age of Ameen = 6 years
The present age of his father = 30 years
=> 30×(1/5)
= 30/5
= 6 years
Ameen's age is one fifth of his father's age
and After 6 years
Their ages will be 12 years and 36 years
=>36 ×1/3 = 36/3 = 12 years
after 6 years his age will be one third of his father's age.
Verified the given relations in the given problem.