Question

Aman age is three time of his son age 10 years age he was five times his son age find their parents age​

Answer 1

Correct Question :-

Aman age is three time of his son age 10 years ago he was five times his son age find their present age.

Answer :-

Present ages of Aman and son are 60 years and 20 years respectively.

Solution :-

Let the age of son be x

Aman's age = three times of his son age = 3 * x = 3x

10 years ago

Son's age = x - 10

Aman's age = 3x - 10

Given

5 times son's age 10 years ago = Aman's age 10 years ago

⇒ 5(x - 10) = 3x - 10

⇒ 5x - 50 = 3x - 10

⇒ 5x - 3x = - 10 + 50

⇒ 2x = 40

⇒ x = 40/2

⇒ x = 20

Present age of son = x = 20 years

Present age of Aman = 3x = 3(20) = 60 years

Therefore present ages of Aman and son are 60 years and 20 years respectively.

Answer 2

The Accurate Question:

Aman's age is three time of his son ago 10 years ago he was five times his son age find their present Ages.

Answer:

The present afe of Aman is 60 years and his son is 20 years old.

Step-by-step explanation:

Gívєn -

Aman's age = three time of his son age

10 years ago = Aman was five times his son age

Tσ fínd -

Their present Ages

Sσlutíσn -

Let the Ages be as -

• Son as x
• Aman as 3x

$\rule{300}{1.5}$

The situation Before 10 years -

• Son --> (x - 10)
• Aman --> (3x - 10)

As stated in the question, 10 years ago Aman was five times his son age.

$\sf{\implies} \: 3x - 10 = 5(x - 10)$

$\sf{\implies} \: 3x - 10 = 5x - 50$

$\sf{\implies} \: 5x - 3x = 50 - 10$

$\sf{\implies} \: 2x = 40$

$\sf{\implies} \: x = \dfrac{40}{2}$

$\sf{\implies} \: x = 20$

Son is presently 20 years old.

$\rule{300}{1.5}$

Aman's Present age =

$\sf{\implies} \: 3x$

$\sf{\implies} \: 3(20)$

$\sf{\implies} \: 60$

Aman is presently 60 years old.

$\therefore$ The present afe of Aman is 60 years and his son is 20 years old.