Question

In 5 years time,reshma will be three times old as she was 9 years ago. how old is she now?

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Answer 1

Answer:

Reshma's present age is 16 years.

Given:

In 5 years Reshma will be three times old as she was nine years ago.

To find:

Her present age.

Solution:

Let her present age be x years.

After 5 years her age would be x+5 years.

Nine years ago her age was x-9 years.

x+5 = 3(x-9)

=> x+5 = 3x-27

=> 5+27 = 3x-x

=> 32 = 2x

=> x = 32/2

=> x = 16.

Therefore, her present age is 16 years.

Verification:

x+5 = 3x-27

=> 16+5 = 48-27

=> 21 = 21

Here, LHS = RHS.

Hence, verified.

Answer 2

$\huge{\underline{\underline{\sf{\orange{Answer:-}}}}}$

According to the Question,

$\textsf {Present age of Reshma = x years }$

$\textsf {Age of Reshma after 5 years = ( x + 5 ) years}$

$\textsf {Age of Reshma after 5 years = ( x + 5 ) years}$

$\textsf {Age of Reshma before 9 years = ( x - 9 ) years}$

$\mathsf {\implies x + 5 = 3 (x - 9)}$

$\mathsf{\implies x + 5 = 3x - 27}$

$\mathsf {\implies x - 3x = - 27 - 5}$

$\mathsf {\implies - 2x = - 32}$

$\mathsf {\implies x = 16 \: years}$

$\mathsf {∴ Present \: age \: of \: Reshma = 16 \: years}$