five years ago and amit was three times as old as armaan 10 years later Amit will be twice as old as armaan how old are they now (Linear equation in one variable)
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Let the present age of Amit be x.
Let the present age of Armaan be y.
Given that 5 years ago Amit was three times as old as armaan.
x - 5 = 3 * (y - 5)
x - 5 = 3y - 15
x = 3y - 10 ------ (1)
Given that ten years later Amit would be twice as old as Armaan.
x + 10 = 2(y + 10)
x + 10 = 2y + 20
x = 2y + 10 ---- (2)
On solving (1) and (2), we get
3y - 10 = 2y + 10
3y = 2y + 20
3y - 2y = 20
y = 20 ---- (3)
Substitute (3) in (1), we get
x = 3y - 10
= 3(20) - 10
= 50.
Therefore the present age of Amit is 50.
the present age of armaan is 20.
Hope this helps!
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