Suppose present age of Mrs. Lata = P years
Present age of son = Q years
? Their total age = 64 years
P + Q = 64 ....... (i)
According to question,
8 years ago , present age of Mrs. Lata - 8 years = 3 × ( present age of her son - 8 years )
? P ? 8 = 3 (Q ? 8)
? P ? 8 = 3Q ? 24
? P ? 3Q = ? 16 ......(ii)
From equations (i) and (ii), we get
4Q = 80 ? Q = 20
Putting the value of Q in eq.(i)
? Age of Mrs. Lata = 64 ? 20 = 44 years
Age of Mahesh = 60 years
Age of Ram = Age of Mahesh - 5 years = 60 ? 5 = 55 years
Age of Raju = Age of Ram - 4 years = 55 ? 4 = 51 years
Age of Babu = Age of Raju - 6 years = 51 ? 6 = 45 years
Age difference between Mahesh and Babu = 60 ? 45 = 15 years
Age of son = 6 years
Age of father = 6 × 5 = 30 years
Let after P years father will be 4 times of son.
According to question ,
? 30 + P = 4 (6 + P)
? 4P ? P = 30 ? 24
? 3P = 6
? P = 2 years
Hence, after 2 years father will be 4 times of son.
The age of father when his son attained the age of 7 years = 32 + 7 = 39 years
? Required difference = The age of father when his son attained the age of 7 years - The age of mother when her son attained the age of 7 years
The difference between the ages of father and mother = (39 ? 35) years = 4 years
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