Five years ago, Nuri was thruce as old as Sonu. Ten years later, Nuri will be twice as old as Sonu. How old are Nuri and Sonu??
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Assumption
Present age of Nuri be p
Present age of Sonu be n
Five years ago,
Nuri age= (p - 5)
Sonu age= (n - 5)
Situation
⇒(p - 5) = 3(n - 5)
⇒(p - 5) = 3n - 15
⇒ p - 3n = -15 + 5
⇒p - 3y = -10 ….......... (1)
After Ten years
Nuri age= (p + 10)
Sonu's age= (n + 10)
Situation
⇒(p + 10n) = 2(n + 10)
⇒p + 10n = 2n + 20
⇒p - 2n = 20 - 10
⇒p - 2n = 10 ............ (2)
Subtracting (1) and (2)
⇒(p - 2n) - (p - 3n) = 10 + 10
⇒ -2n + 3n = 20
⇒ n = 20 …........... (3)
Substituting value in (1),
p - 60 = -10
p = 50
Therefore,
Age of Nuri is 50 years.
Age of Sonu is 20 years.
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