Math, asked by s1055purva7170, 2 months ago

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

Answered by TaniyaArmy
1

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.

Answered by tennetiraj86
6

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.

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