1. 1 year ago promila was 4 times as old as her daughter sakshi.6 years hence promila's age will exceed her daughter's age by 9 years.The ratio of the present ages of promila and her daughter is ?

A. 9:2 B. 11:3 C. 12:5 D. 13:4

Answer Answer: Option D Explanation: let the ages of promila and sakshi 1 year ago 4x and x years respectively.
Then [(4x+1)+6] - [(x+1)+6] = 9 <=> 3x = 9 <=> x=3
Therefore required ratio = (4x+1) : (x+1) = 13:4

2. The present ages of three persons are in proportions 4:7:9. Eight years ago, the sum of their ages was 56. Find their present ages(in years)?

A. 8,20,28 B. 16,28,36 C. 20,35,45 D. None of these

Answer Answer: Option B Explanation: Let their present ages be 4x, 7x and 9x years respectively
Then (4x - 8) + (7x -8) (9x -8) = 56 <=> 20x =80 <=> x =4
Their present ages are 16 years, 28 years and 36 years respectively.

3. The ratio of the ages of a man and his wife is 4:3 after 4 years this ratio will be 9:7. If at the time of marriage the ratio was 5:3 then how many years ago were they married?

A. 8 years B. 10 years C. 12 years D. 15 years

Answer Answer: Option C Explanation: Let the present ages of the man and his wife be 4x and 3x years respectively.
Then, 4x+4/3x+4 = 9/7 <=> 7(4x+4)=9(3x+4) <=> x = 8
So their present ages are 32 years and 24 years respectively.
Suppose they were married Z years ago
Then 32-z/24-z = 5/3 <=> 3(32-z) = 5(24-z) <=> 2z = 24 <=> z = 12

4. A is 2 years older than B who is twice as old as C if the total of the ages of A,B and C be 27 then how old is B?

A. 7 B. 8 C. 9 D. 10

Answer Answer: Option D Explanation: Let c's age be X years.
Then B's age = 2x years. A's age = (2X+2) years
Therefore (2X+2) + 2x+x = 27 <=> 5x=25 <=> x=5
Hence B's age = 2x = 10 years.

5. The sum of ages of family members (both children and parents) is 360 years.The total ages of children and parents are in the ratio 2:1 and the ages of wife and husband are in the ratio 5:7. what will be the age of husband?

A. 65 years B. 72 years C. 70 years D. 75 years

Answer Answer: Option C Explanation: Sum of ages is 360 years.
The ratio of children and parents ratio ages is 2:1
Total age of parents is 360*1/3 = 120 years
Ratio of wife and husband age is = 5:7
Therefore age of the husband is = 120*7/12 = 70 years
Hence the husband of the age is = 70 years