Question

Arvind is six times as old as his son. after twenty years he will be only twice old as his son. find their present ages.​

Answer 1

Assuming Arvind's sons age x years.

Then Arvind's age = 6x years

After 20 years :

➡ Sons age = x+20 years

➡ Arvind's age = 6x + 20 years.

According to the question :

=> 6x + 20 = 2(x + 20)

=> 6x + 20 = 2x + 40

=> 4x = 20

=> x = 5 (sons age)

Then Arvind's age = 25 years

Answer 2

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Assuming Arvind's sons age x years.

Then Arvind's age = 6x years

After 20 years :

➡ Sons age = x+20 years

➡ Arvind's age = 6x + 20 years.

According to the question :

=> 6x + 20 = 2(x + 20)

=> 6x + 20 = 2x + 40

=> 4x = 20

=> x = 5 (sons age)

Then Arvind's age = 6x = 30 years