Math, asked by amitsinght61994, 3 months ago

5 year ago bharti mother was 3 times old as bharti after 6 years she will be twice as old as bharti.present age of bharti is​

Answers

Answered by pulakmath007
1

SOLUTION

GIVEN

5 years ago, Bharti's mother was 3 times as old as Bharti. After 6 years she will be twice as old as Bharti

TO DETERMINE

Present age (In years) of Bharti

EVALUATION

Here it is given that 5 years ago, Bharti's mother was 3 times as old as Bharti.

Let 5 years ago age of Bharati and age of Bharti's mother was x years and 3x years respectively

So present age of Bharati and present age of Bharti's mother is ( x + 5 ) years and ( 3x +5 ) years respectively

After 6 years age of Bharati and age of Bharti's mother will be ( x + 11 ) years and ( 3x + 11 ) years respectively

Now it is given that After 6 years she will be twice as old as Bharti Present age of Bharti

So by the given condition

3x + 11 = 2( x + 11 )

 \implies \sf{3x + 11 = 2x + 22}

 \implies \sf{3x - 2x = 22 - 11}

 \implies \sf{x = 11}

Hence present age of Bharati = 11 + 5 = 16 years

FINAL ANSWER

Present age of Bharati = 16 years

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