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# Arithmetic Aptitude :: Problems on Ages

Home > Arithmetic Aptitude > Problems on Ages > General Questions

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71. Sachin is younger than Rahul by 7 years. If their ages are in the respective ratio of 7:9, how old is Sachin?

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Explanation:

Let age of Sachin be x Then age of Rahul will be (x+7)

Now x/(x+7) = 7/9

Solving we get x= 24.5

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72. The age of father 10 years ago was thrice the age of his son. Ten years hence, father's age will be twice that of his son. The ratio of their present ages is:

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Explanation:

Let son's age 10 years ago be x.
Father's age 10 years ago = 3x
2(x+20) = (3x+20)
x = 20
10 years ago, father's age = 60 years and son's age = 20 years
Ration of their present age = 70:30 = 7:3

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73. The current age difference between two persons is 25. 9 years before the elder one's age was 6 times that of the younger one. What is sum of their current ages?

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Explanation:

Lets assume younger age = x Years.
So, elder age will be (as per question) = (x+25) years.
Given:
(X+25)-9 = 6(X-9)
By Solving the above eqaution
=> x=14 whicjh is the age of younger
elder = 25+14 = 39 years.

sum of their current ages = 39+14 = 53

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74. The sum of the ages of abhigail,jennifer and margaret was 52 three year ago.four years ago,jennifer who is a year younger than margaret,was 3/2 times as old as abhigail.the sum of ages of jennifer and margaret two year hence will be?

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Explanation:

3 yrs ago sum = A+j+m=52
present ages sum= A+j+m=61
J=M-1 or M =J+1
J-4 =3/2(A-4)
A= (2 J+4)/3
Substitute all in Second eqn of Sum of present ages
(2j+4)/3 + j + j +1 =61
8j =176
j=22 present , m= 23 present
After 2 years sum of the ages of jennifer and margaret = (22+2) +(23+2) = 49

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75. Arun's present age in years is 40% of Barun's. In another few years, Arun's age will be half of Barun's. By what percentage will Barun's age increase during this period?

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