Answer :

Let the present age of son = x year

and the age of his father = y year


According to the question


y = 2x + 30


or, 2x – y = – 30 …(1)


After 10 years,


Age of son = (x + 10)year


Age of father = (y + 10)year


So, According to the question


y + 10 = 3(x + 10)


y + 10 = 3x + 30


y = 3x + 20


or, 3x – y = – 20 …(2)


Now, table for y = 2x + 30



Now, table for y = 3x + 20



On plotting points on a graph paper and join them to get a straight line representing y = 2x + 30.


Similarly, on plotting the points on the same graph paper and join them to get a straight line representing y = 3x + 20.



Here, the lines representing Eq. (1) and Eq. (2) intersecting at point A i.e. (10,50).


So, the age of son is 10years and age of his father is 50years.


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