Aman's age is three times his son age . ten years ago he was five times his son's age . find thier present age
Answers
Answer:
Let the present age of Amon's son be x years. Therefore, Aman's age = 3x years. And Aman's age = 3 x 20 = 60 years.
Answer:
The present ages of Aman and his son are 60 years and 20 years respectively.
Step-by-step-explanation:
Let present age of Aman's son be x years.
From the first condition,
Aman's present age = 3 * Son's present age
∴ Aman's present age = 3x years
Now,
Ten years ago age of son = ( x - 10 ) years
And ten years age of Aman = ( 3x - 10 ) years
From the second condition,
Aman's age = 5 * Son's age
⇒ ( 3x - 10 ) = 5 ( x - 10 )
⇒ 3x - 10 = 5x - 50
⇒ - 10 + 50 = 5x - 3x
⇒ 40 = 2x
⇒ 2x = 40
⇒ x = 40 ÷ 2
⇒ x = 20 years
∴ Son's present age = 20 years
Now,
Aman's present age = 3x
⇒ Aman's present age = 3 * 20
⇒ Aman's present age = 60 years
∴ The present ages of Aman and his son are 60 years and 20 years respectively.