Question

20) 5 years ago, Bharti's mother was 3 times as old as
Bharti
. After 6 years she will be twice as old as Bharti
Present age (In years) of Bharti is
A) 43
B) 40
C) 38
D) 16​

Answer 1

Answer:

Step-by-step explanation:

Let Bharti's Present age be B years and het Mother's present age be M years.

5 years ago,

Bharti's age was (B-5) years and her mother's age was (M-5) years, then according to question,

M-5 = 3(B-5)

=> M-5 = 3B - 15

=> M-3B = - 10. - - - - - - (1)

After 6 years,

Bharti's age will be (B+6) years and her mother's age will be (M+6) years,

According to question,

(M+6) = 2(B+6)

=> M - 2B =12 - 6

=> M - 2B = 6. - - - - - - (2)

Subtracting equation (2) from (1), we get

-B = - 16

=> B = 16

So, Bharti's present age is 16 Years.

Correct Option (D) 16

Answer 2

SOLUTION

TO CHOOSE THE CORRECT OPTION

5 years ago, Bharti's mother was 3 times as old as

Bharti. After 6 years she will be twice as old as Bharti

Present age (In years) of Bharti is

A) 43

B) 40

C) 38

D) 16

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

Hence the correct option is D) 16

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