Q.9: Ali is x years old. Express the following using variables.
a) Ali's age 5 years ago.
b) 4 times Ali's age 3 years hence
c) The present age of Ali's father who is 6 times as old as Ali, 5 years.
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Let Aman's son's present age =x
According to the question, Aman's present age =3x
Given, ten years ago,
Aman's age =3x−10
Aman's son age =x−10
Aman's age =5 × Aman's son's age
∴3x−10=5(x−10)
Step 2: Solve the above equation
⇒3x−10=5x−50
⇒5x−3x=50−10
⇒2x=40
⇒x=20.
So, Aman's son's age =x=20 years
Aman's age =3x=3×20=60 years.
Therefore, the present ages of Aman and his son are 60 and 20 years.
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