Suppose age of Laxmi is x years.

The difference of their ages

Ratio of their ages after 3 years = =

= 12 : 36 = 1 : 3

A) 56 years | B) 62 years |

C) 69 years | D) 72 years |

Explanation:

Let us consider Karthik as K1 and Kalyan as K2.

Given

and K2 - (K1 + 5) = 3

K2 - K1 = 8

K2 = 8 + K1

Now,

K1 = 32 years

Therefore K2 = 40 years.

K1 + K2 = 72 years.

A) 50 years | B) 70 years |

C) 60 years | D) 40 years |

Explanation:

Let Kumar’s present age be "x" years and Sailesh’s present age be "y" years.

Then, according to the first condition,

x - 10 = 3(y - 10) x - 3y = - 20 ........(1)

Now, Kumar’s age after 10 years = (x + 10) years.

Sailesh’s age after 10 years = (y + 10) years.

(x + 10) = 2 (y + 10) x - 2y = 10 ......(2)

Solving (1) and (2),

we get x = 70 and y = 30

Kumar’s present age = 70 years and

Sailesh’s present age = 30 years.