Suppose age of Laxmi is x years.

The difference of their ages

Ratio of their ages after 3 years = =

= 12 : 36 = 1 : 3

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.

A) 34 years | B) 26 years |

C) 24 years | D) 36 years |

Explanation:

Let present ages of Sushanth = w, Krish = x, Rishi = y and Rohit = z , then

w + x + y = 43 x 3 = 129 ---(i) and

w + y + z = 49 x 3 = 147 ---(ii)

Subtracting (i) from (ii), (w+y+z) - (w+x+y) = 147 - 129 , z - x = 18 ---(iii)

Given Rohit's age=z=54, so from (iii), x = 54 - 18 = 36.

Therefore, Krish age is 36 years.

A) 84 years | B) 72 years |

C) 82 years | D) 64 years |

Explanation:

Let the age of ruler is x so that of son = x/2 (given)

Now according to the given condition

(x/6) + (x/12) + (x/7) + 5 + (x/2) + 4 = x

=> x = 84

A) 27, 9, 21 | B) 9, 21, 27 |

C) 21, 27, 9 | D) 9, 27, 21 |

Explanation:

Let Anushka age = X

Charu latha 12 yrs older than Anushka so Charu latha age = x+12

Kajal is thrice as old as Anushka so Kajal age = 3x

The ages of Anushka, Kajal and Charu latha together are 57 years

i.e x + (x+12) + 3x = 57

=> 5x = 45

:- x = 9

Anushka age = 9

Kajal age = 3x = 27

Charu latha age = x+12 = 21

A) 40 | B) 50 |

C) 60 | D) 70 |

Explanation:

Sony and her brother's age sum is 31

Let Sony's mother's age be 'x'.

Now the conditions given for both of their ages related to their mom is

1/5(x-15) + 3/5(x-10) = 31

x-15 + 3x-30 = 155

4x-45 = 155

4x = 200

x = 50

So, Mother's age = 50.

Cross verification : 15 years ago age = 35 => Sony age = 7

10 years ago age = 40 => bro age = 24

Sum = 24 + 7 = 31.