A) 39 yrs | B) 36 yrs |

C) 46 yrs | D) 41 yrs |

Explanation:

Anu = (Raj + 5) + 9

= Raj + 14 -------- (I)

Raj = (Renu - 4) + 7

= Renu + 3 ------- (II)

Raj's age = 19 + 3 = 22 years

After 5 years Anu's age = 22 + 14 + 5 = 41 years

A) 40 | B) 56 |

C) 60 | D) 100 |

Explanation:

X= 2/3Y

=> Y= 3/2X

Aage of X after 6 years = 46 years

So present age of X = 46-6 = 40 years

Now, present age of Y = 3/2 * 40 = 60 years.

A) 4 years | B) 3 years |

C) 2 years | D) 1 year |

Explanation:

Let Ishika and her daughter present ages be p and q

From the given data,

**p = 4/3(p - 9)**

=> p = 36 years

Hence, Ishika's present age = 36 years and

her daughter's present age = **1/6 x 36 = 6 years**

Now, required her daughter’s age three years ago = 6 - 3 = **3 years.**

A) 2 years | B) 4 years |

C) 6 years | D) 8 years |

Explanation:

From the given data,

Manogna’s age be 0 when she was born.

Her father’s age = 38 years

Her mother’s age when Manogna’s brother who is 4 years younger to her was born = 36 years

=> Manogna’s mother age when Manogna was born = 36 - 4 = 32 years

Hence, the difference between the ages of Manogna’s parents = **38 - 32 = 6 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.**