Five years ago,Amit was three time old as Armaan . ten year later Amit would-be twice as old as Armaan.how old are they now .
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Answer:
i no this answer closely relates
Answered by
1
Answer :
- Amit = 50 years old
- Armaan = 20 years old
Explanation :
As the ages of Amit and Armaan are unknown,
Let,
- Amit's age be 'x'
- Armaan's age be 'y'
5 years ago,
- Amit = (x - 5)
- Armaan = (y - 5)
Amit was three times old as Armaan,
⟶ (x - 5) = 3 (y-5)
⟶ (x - 5) = (3y - 15)
⟶ 3y - x = -15 - 5
⟶ 3y - x = 10
⟶ x = 3y - 10 -------- (1)
10 years later,
- Amit = (x + 10)
- Armaan = (y + 10)
Amit would be twice as old as Armaan,
⟶ (x + 10) = 2 (y + 10)
⟶ (x + 10) = (2y + 20)
⟶ 2y - x = 20 - 10
⟶ 2y - x = 10
⟶ x = 2y + 10 --------- (2)
Equating both (1) = (2),
⟶ 3y - 10 = 2y + 10
⟶ 3y - 2y = 10 + 10
⟶ y = 20
Substituting 'y' value in (1),
⟶ x = 3y - 10
⟶ x = 3 (20) - 10
⟶ x = 60 - 10
⟶ x = 50
- ∴ Amit is 50 years old &
- Armaan is 20 years old.
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