As per Formula:
(If the given ages in a ratio a : b then age will be ax and bx)
so persons age will be 2x, 4x and 6x respectively.
Their age average is 60
so (2x+4x+6x)/3 = 60
=> 12x = 60 * 3
=> x = 180/12 = 15
so age of youngest is 30 years.
Workspace
NA
SHSTTON
82
Solv. Corr.
110
Solv. In. Corr.
192
Attempted
0 M:49 S
Avg. Time
22 / 73
Choose the correct option.
When Rajeev was born, his father was 32 years older than his brother and his mother was 25 years older than his sister. If Rajeev's brother is 6 years older than Rajeev and his mother is 3 years younger than his father, how old was Rajeev's sister when Rajeev was born?
As per the formula( If the given ages in a ratio a : b then age will be ax and bx.)
so A and B age will be 8x and 5x respectively.
=> 8x+5x = 39 => 13x=39
=> x=39/13=3
A nad B age will be 25 and 15 respectively.
After 9 yr,
A and B age will be 33 and 24.
So, the ratio of their ages A:B::11:8
Workspace
NA
SHSTTON
75
Solv. Corr.
114
Solv. In. Corr.
189
Attempted
2 M:4 S
Avg. Time
24 / 73
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The sum of the present ages of a father and his son is 60 years. Six years ago, father's age was five times the age of the son. After 6 years, son's age will be:
Let the present ages of son and father be x and (60 -x) years respectively.
Then, (60 - x) - 6 = 5(x - 6)
=> 54 - x = 5x - 30
=> 6x = 84
=> x = 14.
Son's age after 6 years = (x+ 6) = 20 years..
Workspace
NA
SHSTTON
11
Solv. Corr.
7
Solv. In. Corr.
18
Attempted
0 M:0 S
Avg. Time
25 / 73
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Ten years ago, chandrawathi's mother was four times older than her daughter. After 10years,the mother will be twice older than daughter. The present age of Chandrawathi is:
Let Chandrawathi's age 10 years ago be x years.
So Her mother's age 10 years ago = 4x
=> (4x+10)+10=2(x+10+10)
=> x=10
So, Present age of Chandrawathi = (x+10) = 20 years
Workspace
NA
SHSTTON
1
Solv. Corr.
9
Solv. In. Corr.
10
Attempted
0 M:23 S
Avg. Time
26 / 73
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Diophantus passed one sixth of his life in childhood, one twelfth in youth, and one seventh more as a bachelor; five years after his marriage a son was born who died four years before his father at half his final age. How old is Diophantus?
lets assume son age=x
fathers age=5x
4 years back, so (x-4)=(5x-4)
then father was 9 times older than son so, 9(x-4)=(5x-4).....(1)
solving eqn (1), x=8
and fathers age =8*5=40 years
Workspace
NA
SHSTTON
12
Solv. Corr.
5
Solv. In. Corr.
17
Attempted
0 M:0 S
Avg. Time
28 / 73
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A father is 30 years older than his son however he will be only thrice as old as the son after 5 years what is father's present age ?
Lets assume son's age = x
So, father's age = x + 30
After 5 years:
Son's age = x + 5
Father's age = x + 35
In 5 years the father is thrice as old as his son so:
3(x + 5) = x + 35
x = 10
So, current father's age = 40 Years.
Workspace
NA
SHSTTON
12
Solv. Corr.
3
Solv. In. Corr.
15
Attempted
0 M:0 S
Avg. Time
29 / 73
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The ratio of the ages of Swati and Varun is 2 : 5, After 8 years, their ages will be in the ratio of 1 : 2. The difference in their present ages (in years) is?
Let Swati's age = 2X and Varun's age = 5X
(2X + 8)/(5X + 8) = 1/2 => X = 8
Swati's age = 16 years
and Varun's age = 40 years
Difference of their ages = 24 years.
Workspace
NA
SHSTTON
36
Solv. Corr.
28
Solv. In. Corr.
64
Attempted
0 M:0 S
Avg. Time
30 / 73
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A person's present age is two-fifth of the age of his mother. After 8 years, he will be one-half of the age of his mother. How old is the mother at present?
Lets assume mother's present age = x years
So, the person's present age = 2/5 x years
As per the question:
=>(2/5 x + 8) = 1/2 (x + 8)
=> 2(2x + 40) = 5(x + 8)
=> x = 40
So Mother present age = 40 years.
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