- The ratio of age of A to B is 6 : 7 and also the ratio of age of C to B is 17 : 14. If the average of their ages is 43 years, then find the ratio of ages B 3 years ago to age of C after 1 year.
4 : 52 : 51 : 59 : 43 : 4Option E

Ratio of age of A and B = 6 : 7

ratio of age of B and C = 14 : 17

ratio of age of A, B and C = 12 : 14 : 17

Average of A, B and C = 43 years

total age = 43 * 3 = 129

present age of B = 129 * 14/43 = 42

present age of C = 129 * 17/43 = 51

ratio of B and C = (42-3) : (51+1) = 3 : 4 - The age of Shankar’s father is four times more than the age of Shankar. 6 years hence, Shankar’s father age is three times the age of Shankar. Find the sum of the age of Shankar and his father.
2445362520Option C

Let the age of Shankar = x

his father age = x + 4x = 5x

6 years hence, (x + 6) 3 = 5x + 6

3x + 18 = 5x + 6

x = 6

The age of Shankar = 6

the age of his father = 5 * 6 = 30

sum = 6 + 30 = 36 years - The present age of a father is 2 years more than four times the age of his daughter. After 6 years, the age of father will be 2 years less than thrice the age of the daughter. What is the fathers present age ?
28 years34 years32 years42 years56 yearsOption B

Let the age of daughter = x

the age of her father = 4x + 2

After 6 years,

4x + 2 + 6 = (x + 6) 3 – 2

4x + 8 = 3x + 16

x = 8

present age of her father = 4 * 8 + 2 = 34 years - In a family, the average age of father and mother is 29 years. If the average age of father, mother and their two sons is 20 years, then what is the age of elder son whose age is 2 years more than the younger one ?
8 years9 years14 years19 years12 yearsOption E

Total age of father and mother = 29 * 2 = 58

total age of father, mother and their two sons = 20 * 4 = 80

Total age of their two sons = 80 – 58 = 22

The age of younger son = 22 – 2/2 = 10 years

age of elder son = 10 + 2 = 12 years - The average of four persons is 43 years. When a new person come, average age of all the five persons is increased by 2 years. What is the age of new person ?
52 years40 years53 years30 years34 yearsOption C

Total age of four persons = 43 * 4 = 172

After joining new person average age of all five persons = 43 + 2 = 45

total age of five persons = 45 * 5 = 220

age of new person = 225 – 172 = 53 years - The ratio of present age of P and Q is 3 : 4. After 15 years the ratio of age of P and Q is 6 : 7, then find the age of Q before 4 years.
25 years17 years32 years42 years43 yearsOption B

Let the present age of P and Q = 3x and 4x respectively.

After 15 years,

3x + 15/4x + 15 = 6/7

24x + 90 = 21x + 105

3x = 15,

x = 5

age of Q before 3 years = ( 4 * 5) – 3 = 17 years - Five years ago, the average age of P, Q and R was 25 years and seven years ago, the average age of Q and R was 20 years. Find the present age P.
32 years25 years34 years36 years26 yearsOption D

Total age of P, Q and R before 5 years = 25 * 3 = 75

total present age of P,Q and R = 75 + 15 = 90

total age of Q and R seven years ago, = 20 * 2 = 40

total present age of Q and R = 40 + 14 = 54

present age of P = 90 – 54 = 36 years - The ratio between the present ages of A and B is 5 : 8. After 4 years, the ratio between their will be 2 : 3. If the present age of C is 2 years more than the average present age of A and B, then find the present age of C ?
25 years35 years24 years18 years28 yearsOption E

Let the present age of A and B = 5x and 8x respectively .

After 4 years,

5x + 4/8x + 4 = 2/3

16x + 8 = 15x + 12

x = 4

present age of A = 5 * 4 = 20

present age of B = 8 * 4 = 32

the present age of C = (20 + 32)/2 + 2 = 28 years - Four years ago, the average age of A and B was 20 years. Now C has joined with them and their average ages become 32 years. What is the present age of C in years ?
40 years32 years52 years48 years42 yearsOption D

Four years ago, total of A and B = 20 * 2 = 40

total present age A and B = 40 + 8 = 48

total age of A, B and C = 32 * 3 = 96

age of C = 96 – 48 = 48 years. - The present age of father is 60% more then the present age of his son. If after 4 years, the sum of age of father and son is 86 years, then what is the present age of son ?
32 years30 years40 years44 years20 yearsOption B

Let present age of son = 5x

present age of father = 5x * 160/100 = 8x

after 4 years,

8x + 4 + 5x + 4 = 86

13x + 8 = 86

x = 6

present age of son = 5x = 5 * 6 = 30 years.