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# Arithmetic Aptitude :: Problems on Ages

Home > Arithmetic Aptitude > Problems on Ages > General Questions

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21. The average of ages of three persons is 60 years .Those ages are in the proportion of 2:4:6.what is the age of the youngest one among them?

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Explanation:

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.

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22. 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?

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Explanation:

Rajeev age = 0,

Father age = 32 + Brother age,

Mother age = 25 + Sister age = Father age -3

Brother age = 6 + Rajeev age = 6 + 0 = 6

Father age = 32 + 6 = 38

Mother age = 38 - 3 =35

Sister age = 35 - 25 = 10.

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23. The ages of A and B are in the ratio of 8:5.If the sum of their ages is 39 years,what will be the ratio of their ages after 9 years?

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Explanation:

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

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24. 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:

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Explanation:

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..

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25. 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:

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Explanation:

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

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26. 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?

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Explanation:

x/6 + x/12 + x/7 + 5 + x/2 + 4 = x

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27. Fathers age is 5 times his son's age. 4 years back the father was 9 times older than son. Find the fathers present age.

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Explanation:

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

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28. 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 ?

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Explanation:

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.

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29. 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?

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Explanation:

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.

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30. 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?

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Explanation:

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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