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
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
Suppose, the age of Nikhil is 1 year.
Nikhil is 8 years younger than his brother Rohan.
Therefore, age of Rohan = 1 + 8 = 9 years
After 7 years ,
Nikhil will be 8 years old and Rohan will be 16 years old.
Let the present ages of Samir and Saurabh are 8a and 15a years respectively ; .
After 9 years the ages of Samir and Saurabh will be 8a + 9 and 15a + 9.
According to question,
After 9 years the ratio of their ages will be 11 : 18, then
(8a + 9)/ = 11/18
? (8x + 9) x 18 = 11 x (15a + 9)
? 144a + 162 = 165a + 99
? 21a = 63
? a = 3
Hence, difference of their ages = 15a - 8a = 7a = 7 x 3 = 21 years
Let the present ages of Suresh and his daughter be 2x and x years respectively; then
According to question,
Six years hence, the ratio of their ages would be 23 : 13
(2x + 6) / (x + 6) = 23/13
? (2x + 6) 13 = 23 (x + 6)
? 26x + 78 = 23x + 138
? 3x = 60
? x = 20
Hence, present age of Suresh = 2 x 10 = 40 years
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