Ages

1. Six years hence, the sum of ages of A and C will be 20 years more than the sum of present ages of A and B. Two years hence, the sum of age of C and B is 36 years then find the present age of C?
A) 20          B) 18        C) 23       D) 21          E) Cannot be determined
Explanation: Two years hence, the sum of ages of C & B is 36 years.Present age of C & B is 32 years.
(A + 6 + C + 6) − (A + B) = 20
A + C + 12 − A − B = 20
C − B = 8 →1
C + B = 32 → 2
From equations 1 and 2
C = 20 years

Ans: A
2. Ratio of the ages of Tony to Hema is 5 : 7 and Denver age is 80% of the Tony age. Hema’s present age is half of Rani’s age after 30 years. If the average of the ages of Tony, Hema, Rani and Denver is 30 years, then what was the age of Hema, 5 years ago?
A) 24           B) 25            C) 30            D) 34          E) 35
Explanation: Present ages of Tony & Hema is 5x & 7x
Dinver age = 80 / 100 × 5x = 4x
Let Rani age = R
7x = R + 30 / 2
14x = R + 30
R = 14x − 30
Sum of ages of Tony, Hema, Rani & Dinver = 30 × 4 = 120 years
5x + 7x + 4x + 14x − 30 = 120
30x − 30 = 120
30x = 150
x = 5
Hema age 5 years ago = 7x − 5 = (7 × 5) − 5 = 30 years
Ans: C

3. If age of A after 4 years will be same as B’s age 2 years ago and B’s age will be 50 when C becomes A’s present age. If sum of the ages of A, B and C is 66. Then what is the present age of B?
A) 26          B) 32         C) 16           D) 13           E) 18
Explanation: A + 4 = B − 2
B − A = 6 years
go through option verification Let B's present age = 32
Then A's present age = 26
Sum of the ages A, B & C = 66

then C's present age = 66 − (32 + 26) = 8 years
If B gets 50, when C becomes A's present age
(32 + 18) = (8 + 18) ⇒ 50 = 26
Ans: B

4. Four years ago, Radhika’s age was 7 / 8 of Seema’s age that time. If the respective ratio between Radhika’s present age and Seema’s present age is 8 : 9. What is the difference between the present age of Seema and that of Radhika? (In years)
A) 6         B) 8            C) 10           D) 12             E) 4

diff. b/w present age of Radhika & Seema
⇒  9 − 8 = 1 part ⇒ 1 × 4 = 4 years
Ans: E

5. The ratio of A’s age four years ago is 1/4 of B’s age after four years and the sum of A’s age after three years and C’s age after two years is 3/4 of B’s age after eight years, then what is the sum of the present age of A, B and C, if C is one year older than A?
A) 71 years           B) 65 years          C) 52 years          D) 44 years            E) 31 years
Explanation: C − A = 1 year
C = 1 + A→ 1
A − 4 = 1/4 (B + 4)
4A − B = 20 →2
(A + 3) + (C + 2) = 3/4  (B + 8)
4A + 4C − 3B = 4 → 3
Substitute eq 1 in eq 3
4A + 4 (1 + A) − 3B = 4 ⇒ 8A = 3B
A/B = 3x/8x → 4
Substitute eq 4 in eq 2
4(3x) − 8x = 20
x = 5
Present age of A = 3x = 3 × 5 = 15
Present age of B = 4x = 8 × 5 = 40
Present age of C = 1 + A = 16
Sum of age of A, B & C = 71
Ans: A

6. The respective ratio of the difference between the ages of grandfather and grandson together and their sum of ages is 5 : 7. After 12 years, the respective ratio of grandfather and grandson is 22 : 7, what is the present age of grandfather?
A) 50            B) 66         C) 60          D) 54           E) 80
Explanation: Let assume
grand father age = x and

grand son age = y

Present age of grand father = x = 6 × 9 = 54
Ans: D

7. At the time of marriage ratio between Arjun’s age to Ramya’s age is 6 : 5. After 1 year of marriage, a girl child born and after 2 more years, a boy born. At present average age of family is 16 years, and age of baby girl is 5 years, then find present age of Ramya.
A) 24 year           B) 26 years            C) 28 years       D) 30 years            E) 32 years
Explanation: Sum of ages of four members
= 16 × 4 = 64 years.
Present ages: Arjun : Ramya : Gril : Boy
6x + 6 5x + 6 5 yrs 3 yrs
6x + 6 + 5x + 6 + 5 + 3 = 64
11x + 20 = 64
11x = 44
x = 4 years
Ramya age = 5x + 6 = 5 × 4 + 6 = 26 years.
Ans: B

8. Ratio of the present ages of Raja and Tarun is 9 : 11 respectively. After three years, ratio of their ages will be 5 : 6 respectively. Ratio of the ages of Tripati and Venky before eight years was 5 : 6 respectively. After two years,
ratio of their ages will be 15 : 17 respectively. Find the sum of the present ages of Tripati and Raja.
A) 46            B) 55           C) 57           D) 28           E) 48

Ans: B

9. A’s age 8 years hence will be twice of B’s present age. C’s age 6 years ago was equal to the present age of B. Ratio of A’s age 4 years hence and C’s age 6 years hence i s 9 : 8. Find B’s age 8 years ago.
A) 10 years          B) 15 years            C) 18 years          D) 12 years

Ans: D

10. The present average age of A, B, C and D is 29 years and 6 months. Four years hence from now, the ratio of ages of C and A will be 5 : 4, respectively. The present average age of C and D is 29 years while B is 4 years elder than A. Find the present age of D.
A) 22          B) 32       C) 28       D) 20       E) 36

Ans: A

11. If the ratio of the present ages of P and Q and R and Q is 2 : 3 and 5 : 4 respectively. The sum of the ages of the present ages of P and R’s age of after three years is 72 years, and then what is the present age of R?
A) 20           B) 30          C) 45         D) 50          E) Cannot be determined
Explanation: P : Q R : Q
Present age →2 : 3 5 : 4
Present age → P : Q : R
8x : 12x : 15x
8x + 15x + 3 = 72
23x = 69
x = 3 years
Present age of R = 15 × 3 = 45 years
Ans: C

Posted Date : 16-06-2023

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