Father Son
5years ago the age of the father & son 5X X
present the age of the father & son 5X+5 X+5
(present age of father) + (present age of son) = 70
(5x+5) + (x+5) = 70
Then you will get X = 10
Present age of the son (x+5) = 15
Let father's age be x year and son's age be y year.
According to question,
2(x+y) = 8y _______(I)
and (x+y)/2 = 30
=> x+y = 60 years__________(II)
From equation (I) and (II)
8 y = 120
y = 15 years,
Hence x = 45 years.
Let the present age of Pinky be x years
Then the age of Mary is x - 12 years
After 3 years,
Ratio of
8x - 72 = 5x +15
=> 3x = 87
=> x = 29
=> Age of Pinky = 29 years
=> Age of Mary = 29 - 12 = 17 years
Present age of Sam = 29 + 17 = 46
Before 15 years Sam age = 46 - 15 = 31 years.
Ayush's present age = 10 years.
His mother's present age = (10 + 20) years = 30 years.
Ayush's father's present age = (30 + 5) years = 35 years.
Ayush's father's age at the time of Ayush's birth = (35 - 10) years = 25 years.
Therefore Ayush's father's age at the time of marriage = (25 - 2) years = 23 years.
Let the age of A = A, B = B and C = C
From given
A = 3B
4 years ago,
C-4 = 2(A-4);
After 4 years
A + 4 = 31;
A = 27;
sub in above B, we get B = 9
C = 2(27 - 4) + 4 = 46 + 4 = 50
Hence B = 9yrs and C = 50yrs.
By trial and error method from the given options,
as 54 - 45 = (1/11) x (45+54) = 99/11 = 9
Hence this satisfies the given conditions.
Then the woman's husband age is 54.
Let the present age of Ravali = x
=> Swarna's present age = x - 9
From the given data,
x + 7 = 2(x - 9 + 7)
=> x = 11 yrs
Required Ravali's age after 4 years = 11 + 4 = 15 yrs.
Let present age of Pranay = 15p
That of Sai = 17p
ATQ,
15p + 6/17p + 6 = 9/10
=> 150p + 60 = 153p + 54
=> p = 2
Therefore, Age of Pranay after 6 yrs = 15 x 2 + 6 = 36 years.
Let Karan?s present age be x years and Shiva?s present age be y years.
Then, according to the first condition,
x - 10 = 3(y - 10) or x - 3y = - 20 ..(1)
Now, Karan?s age after 10 years = (x + 10) years
Shiva?s age after 10 years = (y + 10)
(x + 10) = 2 (y + 10) or x - 2y = 10 ..(2)
Solving (1) and (2), we get x = 70 and y = 30
Karan?s age = 70 years and Shiva?s age = 30 years.
The ratio of X and Y ages at present is 4:5.
Then, the ratio 20 years ago will not be more than the ratio at present.
So, from the options 9:10 is not satifying => its ratio is 0.9 which is greater than presnt ratio of 0.8.
Ram age when he was born = 0 years
=> His brother's age = 6 year
=> His father's age = brother age + 32years = 6+32 = 38
=> His mother's age = father's age - 3 = 35
So sister's age = 35-25 = 10years.
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