# Arithmetic Aptitude 3

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 Question 1
Present age of Vinod and Ashok are in ratio of 3:4 respectively. After 5 years, the ratio of their ages becomes 7:9 respectively. What is Ashok’s present age is ?
 A 40 years B 28 years C 32 years D 36 years
Arithmetic Aptitude 3    Ratio and Proportion    Age
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Question 1 Explanation:
Let the present age of Vinod and Ashok be 3x years and 4x years respectively.
```Then (3x+5) / (4x+5)  = 7 / 9

∴ 9(3x + 5) = 7(4x + 5)
∴ 27x + 45 = 28x + 35
∴ x = 10
∴ Ashok’s present age = 4x = 40 years ```
 Question 2
At present father’s age is thrice of son’s age. After 15 years father’s age will be double of son’s age. What is son’s present age?
 A 16 years B 15 years C 12 years D 10 years
Arithmetic Aptitude 3    Age
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Question 2 Explanation:
Let the present age of son and father be x years and 3x years respectively. Then (3x + 15) = 2(x + 15) ∴ 3x + 15 = 2x + 30 ∴ x = 15 ∴ Son’s present age = x = 15 years.
 Question 3
At present, the ratio between ages of Ram and Shyam is 6:5 respectively. After 7 years, Shyam’s age will be 32 years. What is the present age of Ram?
 A 32 B 40 C 30 D 36
Arithmetic Aptitude 3    Ratio and Proportion    Age
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Question 3 Explanation:
```Let the present age of Ram and Shyam be 6x years and 5x years respectively.

Then 5x + 7 = 32
∴      5x = 25
∴        x = 5
∴ Present age of Ram = 6x = 30 years```
 Question 4
The present ages of A, B and C are in proportions 4:5:9. Nine years ago, sum of their ages was 45 years. Find their present ages in years
 A 15,20,35 B 20,24,36 C 20,25,45 D 16,20,36
Arithmetic Aptitude 3    Ratio and Proportion    Age
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Question 4 Explanation:
Let the current ages of A, B and C be ax years, 5x years and 9x respectively.
```Then (4x-9) + (5x-9) + (9x-9) =45
∴ 18x – 27 = 45
∴ 18x = 72
∴ x = 4```
Present ages of A, B and C are 4x = 16, 5x = 20, 9x = 36 respectively.
 Question 5
A person’s present age is one third of the age of his mother. After 12 years, his age will be one half of the age of his mother. What is present age of his mother?
 A 30 B 34 C 38 D 36
Arithmetic Aptitude 3    Age
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Question 5 Explanation:
Le the present ages of son and his mother are x years and 3x years.
```Then (3x + 12) = 2( x + 12)
∴ 3x + 12 = 2x + 24
∴ x = 12
∴ Present age of mother = 3x = 36 years ```
 Question 6
A is as older than B as he is younger than C.If the sum of ages of B and C is 68 years. What is the present age of A?
 A 24 years B 34 years C 28 years D 32 years
Arithmetic Aptitude 3    Age
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Question 6 Explanation:
```A – B = C – A
∴ 2A = B + C
And also given that B + C = 68
∴ 2A = 68
∴   A = 34
```
There are 6 questions to complete.
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