Let Rama's age 8 years ago be x years and mother's age 8 years ago be 5x

years

Hence, present age of Rama = years

A) 15 | B) 16 |

C) 18 | D) 20 |

Explanation:

Let the present ages of Kapil and Avanthi be K & A

Given difference in their ages = K - A = 9 years ...........(1)

After 7 years, K + 7 = 2(A + 7) ......(2)

K + 7 = 2A + 14

K - 2A = 7 ............(3)

K - A = 9 ....(1)

From (1) & (3),

-A = -2

=> A = 2 years

=> K = 9 + 2 = 11 years

Required, age of Kapil after 4 years = **11 + 4 = 15 years.**

A) 18 | B) 25 |

C) 7 | D) 15 |

Explanation:

Given Karthik’s age = 32 years

Karthik’s son age = 7 years

**Difference between their ages **= **K - S = 32 - 7 = 25 years** **….(1)**

Now, required **K = 2S ……(2)**

Put (2) in (1)

2S - S = 25

**=> S = 25 years**

Hence, at the age of 25 years of Karthik’s son, Karthik will be twice as his son’s age.

**25 - 7 = 18 years**

Therefore, after **18 years **the father be twice as old as the son.

A) 10 years | B) 15 years |

C) 18 years | D) 24 years |

Explanation:

Given the ages of Sunitha and Pranitha are 40 years and 60 years.

Let before 'm' years, their ages be in the ratio of **3 : 5**

**ATQ,**

$\frac{40-\mathrm{m}}{60-\mathrm{m}}=\frac{3}{5}$

=> 200 - 5m = 180 - 3m

=>2m = 20

**=> m = 10 years.**

Let the present age's of mother be 'M' and that of her son be 'S'.

According to the given data in the question,

M - 5 = 3(S - 5)

F - 3S = -10 ...............(1)

Then given ,

M + 5 : S + 5 = 11 : 5

=> 5M - 11S = 30 ..............(2)

From (1) & (2), we get

S = 20

Then by substituting S = 20 in (1) or (2), we get

M = 50.

Hence, the present age of mother is **M = 50 years.**

A) 32 | B) 33 |

C) 34 | D) 35 |

Explanation:

Given S = 17 yrs

A = 16 yrs

B = 12 yrs

Average = 17 + 16 + 12/3 = 15 yrs

Given if Aslam added to them, their average increases by 5

=> Average of 4 members = 20

Let the age of Aslam be 'x'

Then,

17 + 16 + 12 + x /4 = 20

=> x = 80 - 45

=> x = 35.

Hence, the age of Aslam is **35 yrs.**

A) 8, 72 yrs | B) 16, 65 yrs |

C) 12, 84 yrs | D) 10, 60 yrs |

Explanation:

Let the present ages be K,M

Given K/M = 4/5

**5K - 4M = 0 ......(1)**

Also given that,

M - (K + 5) = 3

**M - K = 8 .........(2)**

Then, by solving (1) & (2)

**M = 40 yrs** and **K = 32 yrs**

Hence, Total of ages = **40 + 32 = 72 yrs**

Difference of ages = **40 - 32 = 8 yrs.**

A) 12 | B) 14 |

C) 22 | D) 10 |

Explanation:

Let Rajeev's present age be x years.

Rajeev's age after 15 years = (x + 15) years.

Rajeev's age 5 years back = (x - 5) years

Then ATQ,

x + 15 = 5 (x - 5)

x + 15 = 5x - 25

=> x = 10

Hence, Rajeev's present age = x = 10 years.

A) 28.5 yrs | B) 29.5 yrs |

C) 30.5 yrs | D) 27 yrs |

Explanation:

According to the given data,

(V + R)/2 = 24

Now, after joining of Veerender,

V + R + D)/3 = 25.5

Hence, Veerender Age = 3(25.5) - 2(24) = 76.5 - 48 = 28.5 years.