- A person is 30 years older than his son . After 6 years , the age of that person is four times the age of son that time. What is age of his son after 10 years from now ?
14 years16 years18 years18 years14.5 yearsOption A

Let the age of his son = x

age of person = x + 30

after 6 years ,

4 (x + 6) = x + 30 + 6

3x = 12

x = 4

age of son after 10 years = 10 + 4 = 14 years - The sum of age of A and B is 38 years. After 8 years the age of B is 2 years more than A. What is the age of B before 5 years ?
13 years14 years15 years20 years18 yearsOption C

Let the age of A = x years

age of B = (38 – x) years

after 8 years,

(38 – x + 8) – (x + 8) = 2

x = 18

age of B before 5 years = 38 – x – 5 = 15 years - The age of B is 8 years more than A, the age of C is 11 years less than B and the age of A is 5 years less than D. If the sum of age of A , B ,C and D is 70 years, then find the sum of age of A and B after 2 years ?
40 years15 years45 years38 years23 yearsOption D

Let the age of D = x years

the age of A = (x – 5) years

the age of B = ( x – 5 + 8 ) = x + 3 years

the age of C = (x + 3 – 11) = x – 8 years

total sum of age of A , B ,C and D = 70

x + ( x – 5) + (x +3) + (x -8) = 70

4x – 10 = 70

x = 20 years

The age of A = 20 – 5 = 15 years

The age of B = 20 + 3 = 23 years

sum = 15 + 23 = 38 years - The age of son is one-third of his father. If after 5 years the age of father and son becomes 5 : 2, then find the sum of age of father and son.
50 years60 years55 years45 years46 yearsOption B

Let the age of father = 3x

the age of son = x

after 5 years,

3x + 5/x + 5 = 5/2

6x + 10 = 5x + 25

x = 25

sum = 3x + x = 4x = 4 * 15 = 60 years - The average present age of A , B and C is 30 years and the ratio between the present age of A and C is 4 : 5. If the age of B is 8 years less than the age of C, then what is age of B after 2 years ?
26 years29 years23 years25 years30 yearsOption B

Let the A and C 4x and 5x respectively

the age of B = 5x – 8

total age of A , B and C = 30 * 3 = 90 years

4x + 5x + 5x – 8 = 90

14x = 98

x = 7

the age of B after 2 years = (5x – 8) + 2 = 29 years - The sum of present age of A , B and C is 52 years and the age of A is 3/5th of age of B. If after 11 years the age of B is equal to the three times the present age of C, then find present of C ?
26 years28 years30 years14 years25 yearsOption E

Let the present age of B = 5x

the age of A = 3x

Let the present of C = y years

5x + 11 = 3y

y = 5x + 11/3

3x + 5x + (5x + 11)/3 = 52

9x + 15 x + 5x + 11 = 156

29x = 145

x = 5

the present age of B = 5 * 5 = 25 years - 10 years ago P was half of Q in age . At present the ratio of their ages is 3 : 4. Find the sum of their ages after 3 years.
46 years35 years62 years41 years52 yearsOption D

10 years ago , let the age of Q = 2x

and the age of P = x

at present , the age of P = x + 10

the age of Q = 2x + 10

x + 10/2x + 10 = 3/4

6x + 30 = 4x + 40

2x = 10

x = 5

sum of their ages after 3 years = 2x + 13 + x + 13 = 23 + 18 = 41 years - The age of father is 40% more then his son. After 5 years the age of father is 16 years more than the age of son. Find the present age of father.
4556425856Option E

Let age of son = 5x

and father age = 5x * 140/100 = 7x

after 5 years,

(7x + 5) – (5x + 5) = 16

2x = 16

x = 8

the age of father = 7x = 7 * 8 = 56 years - The difference between the present age of A and B is 20 years. After 3 years their ages are in the ratio 9 : 19. Find the present age of B.
40 years35 years26 years14 years46 yearsOption B

Let present age of A = x years

present age of B = x + 20 years

after 3 years, the age of A = x + 3

the age of B = x + 23

x + 3 / x + 23 = 9/19

19x + 57 = 9x + 207

10x = 150

x = 15

the age of B = 15 + 20 = 35 years - The present age of father is 5 times that of his son. After 4 years he will be 4 times that of his son. Find the age of father 3 years ago.
34 years56 years42 years57 years48 yearsOption D

Let the age of son = x years

the age of father = 5x years

After 4 years,

the age of son = x + 4

the age of father = 5x + 4

4 (x + 4) = 5x + 4

4x + 16 = 5x + 4

x = 12 years

the age of father 3 years ago = 5 * 12 – 3 = 57 years