Problems on Ages Quiz 1

Let Messi’s present age be x years.
Father's present age = ( x + 2.5x ) = 3.5x
After 12 years, ( 3.5x + 12 ) = 1.5 ( x + 12 )
Solving, x = 3
Required ratio = \frac{ ( 3.5x + 24)}{(x+24)}
= \frac{ (34.5)}{(27)} = 1.27

Let Tom's age = 5x and Jerry’s age = 7x
\frac{5x + 9}{7x + 9} = \frac{3}{4}
Solving, x = 9
Tom’s age = 5x = 45

Let the son's present age be x years.
Father's present age = ( 3x + 5 )years
( 3x + 5) +7 = 2 (x+7) + 12
Solving, x=7
Hence, father's present age = ( 3x ) +5 = 21 + 5 = 26 years

Let age of Tara = x
Then age of Gayatri = x+6
Sum of current ages = x + (x+6) = 2x +6
After 11 years, (x+11) + (x+6+11) = 3(2x+6)
2x +28 = 6x + 18
4x = 10
2x =5
Sum of current age = 2x+6 = 11

Let the Present age of Sona = x
Sreeram’s age = 7
Ashwin's age = 7-3 = 4
\frac{x - 4}{12} = 3
x-4 =36
x = 40
Sona's present age = 40 years

Total age of the family members = 30 x 6 = 180 years.
Present age of the youngest member = 12 years
Present total age of the remaining five members = 180 -12 = 168 years
Their average age at the time of the birth of the youngest member = \frac{168 - (5\times12)}{5} = 21.6

Let Salman's age at the time of his marriage = X years
Given data => X + 15 = \frac{8}{5} X
X = 25
Since got married 15 years ago, his present age = 25 + 15 = 40
Alia is 10 years younger => 40 - 10 = 30 years.

Let the age of the daughter today be ‘x’ years.
Kamla’s age today = 4x years
After 15 years, we have
4x + 15 = 3(x + 15)
x = 30 years

Let Arjun's age 20 years ago = x years.
Then,Devan's age 20 years ago = 2x years.
(x + 15) / (2x+ 15) = 5/6
=> x = 5.
So, the total of their present ages =(x + 20 + 2x + 20)= 3x + 40 = 15 + 40
=55 years

Let x = age of boy
And k = sum of age of all men
We have \frac{k}{12} = \frac{k - 30 - 32 + x +x}{12} + 4
30 + 32 = 2x + 48
X = 7