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.
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
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
Let us assume the present ages of son be Y then his father present age will be Y + 34 years. then
12 years ago, father's age = Y + 34 -12
12 years ago, Son's age = Y - 12
Now according to question,
12 years ago, father's age was 18 times the age of his son. then
18( Y - 12 ) = Y + 34 - 12
? 18Y - 216 = Y + 22
? 17Y = 238
? Y = 14
Hence, present age of his son = 14 years.
Let the present ages of two person be 4x and 7x years respectively; then according to question,
7x = 30 + 4x
? 3x = 30
? x = 10
Hence, sum of their ages = 4x + 7x = 11x = 11 x 10 = 110 years
Let us assume the age of second son be Y, then age of first son will be Y + 10 and age of father will be (Y + 10 + 30) years respectively;
then according to question,
sum of their ages be 95 years.
x + x + 10 + x + 10 + 30 = 95
? 3x = 95 - 50
? 3x = 45
? x = 15
age of the father = x + 10 + 30
Hence, age of the father = 15 + 10 + 30 = 55 years.
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