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 1/4thof the present age of the mother.

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

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.

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