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1) Case 1: 5 years ago:
Age of Nuri = x - 5 years
Age of Sonu = y - 5 years
It is given that 5 years hence, the age of Nuri was 3 times that of Sonu. Putting it in the form of an equation, we get:
x - 5 = 3(y - 5)
x - 3y = -10 (1)
Case 2: 10 years later:
Age of Nuri = x + 10 years
Age of Sonu = y + 10 years
It is given that 10 years later, the age of Nuri will be 2 times that of Sonu. Putting it in the form of an equation, we get:
x +10 = 2(y + 10)
x - 2y = 10 (2)
We need to solve equation (1) and (2) simultaneously:
(1) x - 3y = -10
(2) x - 2y = 10
Now, in (1), we have:
x = -10 + 3y
Substituting the value of x from (1) in (2), we get:
-10 + 3y -2y = 10
y = 20
y = 20
Putting this value of y in equation (1), we get:
x - 3(20) = -10
x = 50
Hence, the present age of Nuri is 50 years and the present age of Sonu is 20 years.