A) 2 : 5 | B) 8 : 15 |

C) 9 : 10 | D) 3 : 5 |

Explanation:

The ratio of X and Y ages at present is 4:5.

Then, the ratio 20 years ago will not be more than the ratio at present.

So, from the options 9:10 is not satifying => its ratio is 0.9 which is greater than presnt ratio of 0.8.

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.

A) 2 | B) 3 |

C) 4 | D) 5 |

Explanation:

According to the given data,

**P + Q = 41 ......(1)**

R - 1 = P + 2

**R = P + 3**

and

P + 4 = Q - 1

**=> Q = P + 5 ....(2)**

From (1)&(2)

P = 18

Q = 18 + 5 = 23

R = 18 + 3 = 21

**=> P/S = 3/4**

**=> S = 4/3 x 18 = 24**

Required Difference **= S - R = 24 - 21 = 3.**

A) 6 yrs | B) 4 yrs |

C) 8 yrs | D) 2 yrs |

Explanation:

Let the present age of Deepa = 5p

Let the present age of Hyma = 6p

After four years their ratio = 6 : 7

=> $\frac{\mathbf{5}\mathbf{p}\mathbf{}\mathbf{+}\mathbf{}\mathbf{4}}{\mathbf{6}\mathbf{p}\mathbf{}\mathbf{+}\mathbf{}\mathbf{4}}\mathbf{}\mathbf{=}\mathbf{}\frac{\mathbf{6}}{\mathbf{7}}$

=> 35p + 28 = 36p + 24

=> p = 4

**Therefore,** the difference between their ages** = 24 - 20 = 4 years.**

A) 25 | B) 30 |

C) 35 | D) 40 |

Explanation:

Present age of Sony = 24 + 4 = 28 years

After 5 years Renuka's age = **7×5 + 5 = 40 years**