1. At present, Ajay’s age is four times of Vijay’s age and Peter is three years younger to Ajay. Three years hence, the respective ratio between Vijay’s age at that time and Peter’s age at that time will be 3 : 10. What will be Ajay’s age three years hence?
A) 48 years B) 63 years C) 67 years D) 66 years E) 57 years
Explanation:
Ajay : Vijay : Peter 4x 1x 4x − 3
10x + 30 = 12x
2x = 30
x = 15
Ajay 3 years hence = (15 × 4) + 3 = 63 years
Ans: B
2. At present, the respective ratio between the ages of A and B is 2 : 7 and that between A and C is 1 : 6. 5 years ago, the sum of the ages of A, B and C was 90 years. What is the present age of C?
A) 30 years B) 25 years C) 60 years D) 50 years E) 45 years
Explanation:
A : B A : C
2 : 7 1 : 6
A : B : C
2x 7x 12x Sum of the present age of A, B, C
= 90 + 15 = 105
2x + 7x + 12x = 105 ⇒ x = 5
C = 12x = 12(5) = 60 years
Ans: C
3. Sum of present ages of Suma and Hema is 60 years. At present, Usha is 10 years younger to Suma. The respective ratio of present ages of Usha and Hema is 7 : 18. What was Suma’s age 4 years earlier?
A) 10 years B) 23 years C) 20 years D) 15 years E) 25 years
Explanation: Suma : Hema : Usha
x : 60 − x : x − 10
18x − 180 = 420 − 7x
25x = 600
x = 24 Suma age 4 years earlier = 24 − 4 = 20 years
Ans: C
4. The respective ratio between present ages of P and Q is 13 : 10. The respective ratio between P’s age 8 years hence and Q’s age 8 years ago is 15 : 8. What is the respective ratio between P’s age 12 years ago and Q’s age 8 years hence?
A) 5 : 6 B) 9 : 7 C) 5 : 4 D) 5 : 3 E) 8 : 7
Explanation: P : Q
46x → 184
1x → 4
Present age of P = 13 × 4 = 52
Present age of Q = 10 × 4 = 40
Required ratio = P − 12 : Q + 8
= 40 : 48
= 5 : 6
Ans: A
5. At present, the respective ratio between the ages of P and Q is 4 : 9 and that between P and R is 2 : 3. 2 years ago, the sum of the ages of P, Q and R was 70 years. What is the present age of Q?
A) 32 years B) 48 years C) 36 years D) 42 years E) 24 years
Explanation:
P : Q P : R
4x : 9x 2x : 3x
P : Q : R
4x : 9x : 6x
Sum of the ages of P, Q and R present = 70 + 6 = 76
4x + 9x + 6x = 76 ⇒ x = 4 Q = 9x = 9(4) = 36 years
Ans: C
6. The present average age of X and Y is (6P − 20). The present average age of X, Y and Z is (4P + 5) years. If the present age of Y is 40% less than the present age of Z and 20% more than the present of X, then find the X’s age six years hence?
Explanation: Present sum of ages of X and Y = (6P − 20) × 2 = 12P − 40
Present sum of ages of X,Y and Z = (4P + 5) × 3 = 12P + 15
Then present age of Z = (12P + 15) − (12P − 40) = 55 X : Y : Z
3 : 6 : 10
↓ ↓ ↓
27.5 33 55
X age 6 years hence = 27.5 + 6 = 33.5 years
Ans: E
7. The present age of Hussain is 4 years less than the present age of Rajitha and Ram is 11 years less than Hussain, if the average age of Hussain and Rajitha is 69. Find the present age of Ram.
A) 67 B) 71 C) 60 D) 56 E) 55
Explanation:
Hussain : Rajitha : Ram
x − 4 x x − 15
Present sum of ages of Hussain & Rajitha
= 69 × 2 = 138
x + x − 4 = 138
2x = 142
x = 71 years
Present ages of Ram = x − 15
= 71 − 15 = 56 years
Ans: D
8. At present Chanti is twice the age of Banti and also seven times the age of Fruity. If after 4 years, Banti will be 25 years old and Fruity will be 10 years old, what is Fruity’s present age?
A) 6 years B) 2 years C) 4 years D) 9 years E) 8 years
Explanation:
Chanti : Banti : Fruity
7x 3.5x 1x
3.5x + 4 = 25 3.5x = 21 x = 6 years
Fruity’s present age = 6 years
Ans: A
9. Present age of Harish is equal to Ganesh age 8 years ago. Four years hence, the respective ratio between Ganesh’s age and Harish’s age will be 27 : 19 at that time. What is Harish present age?
A) 22 years B) 27 years C) 17 years D) 18 years E) 15 years
Explanation: Ganesh : Harish = 8 years
Present age of Ganesh = 27x − 4
Present age of harish = 19x − 4
(27x − 4) − (19x − 4) = 8 8x = 8 x = 1 year
Present age of Harish = 19x − 4 = 15 years
Ans: E
10. Age of A before 6 years is th of the 5/4 present of C and B is 12 years elder than C. If the sum of the ages of A, B and C before 4 years is 58 years, then find the present age of A.
A) 16 B) 28 C) 26 D) 31 E) 10
Explanation: Present age of A = 5x + 6
Present age of C = 4x
Present age of B = 4x + 12
Sum of ages of A, B, C = 58 + 12 = 70 years
5x + 6 + 4x + 4x + 12 = 70
13x = 52
x = 4 years
Present age of A = 5x + 6 = 26 years
Ans: C
11. Radha’s present age is th of her mother’s 8 present age. Radha is 4 years younger to her sister. The respective ratio between the present ages of Radha’s mother and Radha’s sister is 24 : 11. What is Radha’s present age?
A) 14 years B) 22 years C) 16 years D) 18 years E) 12 years
Explanation: Radha : Mother : Sister
3x 8x 3x + 4
11x = 9x + 12
2x = 12
x = 6
years Radha present age = 3x = 18 years
Ans: D
12. Sum of present ages of Rishika and Abhi is 48 years. At present, Abhi is 4 years older to Surekha. Respective ratio of present ages of Rishika and Surekha is 4 : 7, what was Abhi’s age 2 years earlier?
A) 38 years B) 28 years C) 32 years D) 30 years E) 36 years
Explanation: Rishika + Abhi = 48 years
Rishika : Abhi : Surekha
x 48 − x 44 − x
7x = 176 − 4x ⇒ 11x = 176 ⇒ x = 16 years
Abhi’s present age = 48 − 16 = 32
Abhi’s age 2 years earlier = 32 − 2 = 30 years
Ans: D
13. Neha’s present age is 1/3 rd. of her aunt’s present age. Neha’s brother is 18 years older to Neha. The respective ratio between the present ages of Neha’s brother and Neha’s aunt is 17 : 24. What is Neha’s present age?
A) 24 years B) 14 years C) 26 years D) 18 years E) 16 years
Explanation:
Neha : Aunt : Brother
1x 3x 1x + 18
24x + 432 = 51x
27x = 432
x = 16 years (Neha’s present age)
Ans: E
15. Harish is older than Pavan by 12 years. 4 years ago, the respective ratio between the ages of Harish and Pavan was 8 : 5. What will be Varun’s age (in years) after 7 years whose present age is half of Pavan’s present age?
A) 22 B) 15 C) 19 D) 10 E) 25
Explanation: Harish − Pavan = 12
Present age of Harish = 8x + 4
Present age of Pavan = 5x + 4
8x − 5x = 12 ⇒ 3x = 12 ⇒ x = 4 years
Required age = 12 + 7 = 19 years
Ans: C
