Question

Each of the questions below consists of a question and three statements numbered I, II and III given below it. You have to decide whether the data provided in all the three statements are sufficient to answer the question. Read all the statements and give answer –

What is the present age of mother?

I. The difference between the ages of mother and daughter is 45 years.

II. The present age of daughter is 1/4^thof the present age of the mother.

III. The sum of the ages of mother and daughter is 75 years.

Q: What is the present age of mother? I. The difference between the ages of mother and daughter is 45 y

From (II), Let the mother’s age be x and daughter’s age be (x )/4. From (I) &(II), x - (x )/4 = 45 (3x )/4 = 45 ∴x = 60 years. From (II) & (III), x + (x )/4 = 75 (5x )/4 = 75 ∴x = 60 years. From (I) & (III), x-y = 45 and x+y = 75 By solving will get the value of x i.e. the answer.