Question

Hema is 24 year older than her daughter Dhamini 6 years ago, Hema was thrice as old as Dhamini. Find the present age of Hema?​

Answer 1

Answer:

42 years.

Step-by-step explanation:

Let the present age of Dhamini be 'x' years

                             Dhamini                                                            Hema

present age.                    x                                                                  x + 24

                                                                                                  (x+24)−6 = x+24−6

6 years ago                   x−6                                                                 x+18

simplify. =

∴ x+18=3(x−6)

x+18=3x−18

x−3x=−18−18

−2x=−36

x=18

hema = x+24=18+24=42 years.

Answer 2

Answer:

Damini = 18 years

Hema = 32 years

Step-by-step explanation:

Let the present age of Dhamini be x

Then the present age of Hema will be x+24

6 years ago the age of Dhamini is x-6

The age of hema will be 3(x-6)

and also her age will be x+24-6=x+18

So now, 3(x-6)=x+18

x=18

Therefore, the present age of dhamini is 18

and hema is 32

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