A.60 years

B.48 years

C.72 years

D.56 years

E.None of these

2) The ratio of the present ages of A, B and C is 5:4:7. The sum of the ages of A, B and C 8 years ago is 56 years. If the ratio of the ages of B to D after 12 years is 2:3, then what is the present age of D?

A.32 years

B.36 years

C.40 years

D.48 years

E.56 years

3) Ratio of the ages of Tarun to Arun is 5:4. After 4 years, the ages of Tarun is 25% less than the ages of Sharu at that time. Sum of the ages of Tarun, Arun and Sharu is 64 years, what is the present age of Tarun?

A.20 years

B.15 years

C.30 years

D.40 years

E.35 years

4) The ratio of present age of Amir and Abi is 4 : x. 6 years ago, the age of Amir and the age of Abi, 5 years hence is in the ratio of 2 : 5. And After 10 years, the sum of their ages is 56 years. Find the value of x?

A.7

B.5

C.4

D.6

E.None of these

5) Ratio of the ages of Anu 4 years ago to the age of Banu 6 years hence is 1:2 and the after 10 years Anu’s age is equal the present age of Banu. If Sheela is 17 years older than Anu, then find the present age of Sheela?

A.39 years

B.40 years

C.32 years

D.37 years

E.None of these

Answers :

1) Answer: A

Ratio of the ages of Ram, Anil and Manu = 12:15:20

Present age of Tinu = (12x + 15x + 20x)/3 + 1 = 47x/3 + 1

= (47x + 3)/3

[47x + 3/3] – 12x = 12

47x + 3 – 36x = 36

11x = 33

x = 3

Manu = 20 * 3 = 60 years

2) Answer: B

5x – 8 + 4x – 8 + 7x – 8 = 56

x = 5

B’s age = 4 * 5 = 20 years

B’s age after 12 years = 20 + 12 = 32 years

D’s age after 12 years = 32 * 3/2 = 48 years

D’s present age = 48 – 12 = 36 years

3) Answer: A

T + A + S = 64

T/A = 5/4

A = 4/5 T

(T + 4)/(S + 4) = 75/100

3S + 12 = 4T + 16

3S – 4T = 4

3S = 4T + 4

A + T + S = 64

4/5 T + T + (4T + 4)/3 = 64

12T + 15T + 20T + 20 = 64 * 15

T = 20years

4) Answer: B

The ratio of present age of Amir and Abi = 4 : x

6 years ago, the age of Amir and the age of Abi, 5 years hence is in the ratio = 2 : 5 (2y, 5y)

Present age of Amir and Abi = 2y + 6, 5y – 5

After 10 years, the sum of their ages = 56 years

Given,

2y + 6 + 5y – 5 + 20 = 56

7y + 21 = 56

7y = 35

y = 5

Present age of Amir and Abi = 16 and 20

The ratio of present ages of Amir and Abi = 16 : 20 = 4 : 5

So, x = 5

5) Answer: E

(A – 4)/(B + 6) = ½

B + 6 = 2A – 8

2A – B = 14-----------(1)

A + 10 = B

B – A = 10 --------(2)

(1) + (2)

A = 24 years

Sheela = 17 + 24 = 41 years