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.
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.
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 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.
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.
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.
Sum of ages of husband, wife and child= (24 × 3) + 9 = 81 years
Sum of ages of wife and child => 25 × 2 + 10 = 50 + 10 = 60 years
Age of husband = 81 - 60 = 21 years.
Let Kumar?s present age be "x" years and Sailesh?s present age be "y" years.
Then, according to the first condition,
x - 10 = 3(y - 10) => x - 3y = - 20 ........(1)
Now, Kumar?s age after 10 years = (x + 10) years.
Sailesh?s age after 10 years = (y + 10) years.
(x + 10) = 2 (y + 10) => x - 2y = 10 ......(2)
Solving (1) and (2),
we get x = 70 and y = 30
Kumar?s present age = 70 years and Sailesh?s present age = 30 years.
Let us consider Karthik as K1 and Kalyan as K2.
Given
and K2 - (K1 + 5) = 3
K2 - K1 = 8
K2 = 8 + K1
Now,
=> K1 = 32 years
Therefore K2 = 40 years.
K1 + K2 = 72 years.
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