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The present age of a father is 3 years more than three times the age of his son. Three years hence, father’s age will be 10 years more than twice the age of the son. Find the present age of the father.
32 years
36 years
40 years
33 years
Let father’s age be x & son’s age be y
By 1st condition:
3 + 3y = x (three plus three times age of son is father’s age)
By 2nd condition:
x + 3 = 2(y + 3) + 10 [here we are talking about 3 years hence. So 3 has to be added to their present ages, and then satisfy the condition]
So the final 2 equations are
x-3y = 3 … (1)
x-2y = 13 … (2)
Solving them we get
y = 10, x = 33
So the father’s present age is 33 and that of the son is 10.
Hence, option 4 is the correct answer.
By: Amit Kumar ProfileResourcesReport error
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