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- The ratio of B’s age six years hence to C’s present age is 3:2. B is thirteen years younger than A. If A’s present age is twice the age of C, then find B’s age, after 5 years?
- 22 years
- 24 years
- 26 years
- 20 years
- None of these
- The average of three persons A, B and C, three years ago was 28 years. While the average ages of A, B, C and D at present is 32 years, then find the age of D, 8 years ago?
- 27 years
- 23 years
- 25 years
- 19 years
- None of these
- 5 years ago, the ratio of age of A and B is 3: 2. C is 7 years younger than A. The present age of C is 2 times of D’s present age. Find the present age of B, if the age of D, after 6 years is 35 years?
- 40 years
- 42 years
- 45 years
- 38 years
- None of these
- After 7 years, the age of Kavi is 2 times the age of Silambu, 8 years ago. Preethi is 5 years elder than Silambu. Find the present age of Kavi, if the present age of Preethi is 30 years?
- 25 years
- 27 years
- 23 years
- 21 years
- None of these
- The ratio of present age of A and B is 6: 7. The present age of C is square of half of B’s present age. Find the present age of C, if the age of A after 6 years is 18 years?
- 49 years
- 45 years
- 41 years
- 38 years
- None of these
- The present age of Rajesh is equal to Vaibhavi’s age 10 years hence. 5 years ago, the ages of Vaibhavi and Rajesh is in the ratio of 1: 2. Find Vaibhavi’s Present age?
- 17 years
- 14 years
- 15 years
- 13 years
- None of these
- 4 years ago, the age of A is 2 times the present age of B. C is 8 years elder than B and 12 years younger than A. Find the present age of D, if the present age of C is 4 times the present age of D?
- 8 years
- 12 years
- 10 years
- 6 years
- None of these
- The ratio of present age of Ramesh and Kavi is 5: 6. Silambu is 5 years elder than Kavi. Sum of the present ages of three of them is 56 years. Find the age of Janvi after 3 years, if the present age of Janvi is 2 times the present age of Ramesh?
- 31 years
- 29 years
- 33 years
- 35 years
- None of these
- A’s present age is 4/5 of B’s present age and B’s present age is 2/3 of C’s present age. The sum of their present ages is 99 years. What is the difference between the ages of A and C?
- 19 years
- 21 years
- 23 years
- 25 years
- None of these
- 3 years ago, the ratio of ages of Rajiv and Ganga is 7: 5. Vaishnavi is 8 years younger than Rajiv and 2 years elder than Ganga. Find the sum of the present age of Rajiv and Ganga?
- 58 years
- 60 years
- 54 years
- 66 years
- None of these
Answers:
1). Answer d
The ratio of B’s age six years hence to C’s present age = 3: 2 (3x, 2x)
Present ages of B to C = 3x-6, 2x
Present ages of A to C = 2: 1(2x, x)
Present ages of A, B and C = 4x, 3x-6, 2x
B = A – 13
A – B = 13
4x – (3x-6) = 13
4x – 3x + 6 = 13
X = 7
B’s age, after 5 years = 3x – 6 + 5 = 21 – 1 = 20 years
2). Answer a
Total ages of A, B and C three years ago
= > 28*3 = 84 years
Total present ages of A, B and C = 84 + 9 = 93 years
Total present ages of A, B, C and D = 32*4= 128 years
Present age of D = 128 – 93 = 35 years
Age of D, 8 years ago = 35 – 8 = 27 years.
3). Answer c
5 years ago, the ratio of age of A and B = 3: 2 (3x, 2x)
The present age of A and B = 3x + 5, 2x + 5
Present age of C = Present age of A – 7
Present age of D = 35 – 6 = 29
Present age of C = 2 * present age of D
= > 2*29 = 58 years
Present age of A = 58 + 7 = 65 years
3x + 5 = 65
3x = 60
X = 20
The present age of B = 2x + 5 = 45 years
4). Answer b
The ratio of age of Kavi’s age after 7 years and Silambu’s age 8 years ago = 2: 1 (2x, x)
Preethi’s present age = 30 years
Silambu’s present age = 30 – 5 = 25
Silambu’s age 8 years ago = 17
X = 17
2x = 34
After 7 years, the age of Kavi = 34 years
Present age of Kavi = 27 years
5). Answer a
The ratio of present age of A and B = 6: 7 (6x, 7x)
The present age of C = (B’s present age/2)2
A’s age after 6 years = 18 years
Present age of A = 12 years
6x = 12
X = 2
Present age of B = 7x = 14 years
Present age of C = (14/2)2 = 72 = 49 years
6). Answer c
The present age of Rajesh = Vaibhavi’s age 10 years hence
5 years ago, Vaibhavi and Rajesh = 1: 2 (x, 2x)
Present age of Vaibhavi and Rajesh = x + 5, 2x + 5
According to the question,
2x + 5 = x + 5 + 10
2x – x = 10
x = 10
Vaibhavi’s present age = x + 5 = 10 + 5 = 15 years
7). Answer d
The ratio of age of A 4 years ago and the present age of B = 2: 1 (2x, x)
C = B + 8
C = A – 12
A – 12 = B + 8
2x + 4 – 12 = x + 8
X = 16
Present age of A = 2x + 4 = 36 years
Present age of B = 16 years
Present age of C = 16 + 8 = 24 years
Present age of C = 4* Present age of D
Present age of D = 24/4 = 6 years
8). Answer c
The ratio of present age of Ramesh and Kavi = 5: 6 (5x, 6x)
Silambu = 5 + Kavi = 6x + 5
Sum of the present ages of three of them = 56 years
5x + 6x + 6x + 5 = 56
17x = 56 – 5
17x = 51
X = 3
Present age of Ramesh = 5x = 15
Present age of Janvi = 2*Ramesh = 2*15 =30 years
The age of Janvi, after 3 years = 33 years
9). Answer b
A’s present age = (4/5)*B’s present age
The ratio of present age of A and B = 4: 5
B’s present age = (2/3)*C’s present age
The ratio of present age of B and C = 2: 3
The ratio of present age of A, B and C = 8: 10: 15
33’s = 99
1’s = 3
The difference between the ages of A and C = (15 – 8)’s = 7’s = 21 years
10). Answer d
3 years ago, the ratio of ages of Rajiv and Ganga = 7: 5 (7x, 5x)
Present ages of Rajiv and Ganga = 7x + 3, 5x + 3
Vaishnavi = Rajiv – 8
Vaishnavi = Ganga + 2
Rajiv – 8 = Ganga + 2
7x + 3 – 8 = 5x + 3 + 2
7x – 5 = 5x + 5
2x = 10
X = 5
Present age of Rajiv = 38 years
Present age of Ganga = 28 years
The sum of the present age of Rajiv and Ganga = 38 + 28 = 66 years
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