Let A's age 10 years ago be x years

Then B's age 10 years ago be 2x yeats

Total of their present ages =

=

= 35 years

A) E = 15 & Y = 3 | B) E = 14 & Y = 12 |

C) E = 40 & Y = 22 | D) E = 4 & Y = 2 |

Explanation:

Let the the age of the elder boy = E

Let the the age of the younger boy = Y

Given that Y = cube root of EY

=> = EY => E = .....(1)

By the condition of number replacement the age of the father is YE

The Mother's age = EY/2

But she is 3 years less than father => EY/2 + 3 = YE

2YE = EY + 6 ......(2)

Then now from the given options we can identify which satisfies the all the conditions.

Here Y =2 and E = 4 satisfies all the conditions.

A) 24 and 13 years | B) 48 and 24 years |

C) 35 and 11 years | D) 33 and 15 years |

Explanation:

Let the age of sushma be x and

the age of her son is y

Then five years before x-5=5(y-5) ...(1)

Five years hence x+5 = 3(y+5)-8 .....(2)

By soving (1) & (2), we get

5y - 15 = 3y + 7

y = 11 => x = 35

Therefore, the age of Sushma = 35 and her son = 11.

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