Instructions

Each of the questions below consists of a question and two statements numbered I and II are given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and :

Give answer a:  If the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
Give answer b:  If the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
Give answer c:  If the data in Statement I alone or in Statement II alone are sufficient to answer the question.
Give answer d:  If the data in both the Statements I and II are not sufficient to answer the question.
Give answer e:  If the data in both the Statements I and II together are necessary to answer the question.

Question 150

# What is the father’s present age?I. Father’s present age is five times the son’s present age.II. Five years ago the father’s age was fifteen times the son’s age that time.

Solution

Clearly, from each statement alone we cannot find the their present ages, thus, by combining both statements, we get :

Let son's present age = $$x$$ years

=> father's present age = $$5x$$ years

According to ques,

=> $$(5x-5)=15(x-5)$$

=> $$5x-5=15x-75$$

=> $$15x-5x=75-5$$

=> $$10x=70$$

=> $$x=\frac{70}{10}=7$$ years

and father's age = $$5\times7=35$$ years

$$\therefore$$ Both statements together are sufficient.

=> Ans - (E)