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

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According to the Question,

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

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

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

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

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

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

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

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

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

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

Answer 2

Answer:

Reshma's present age is 16.

Explanation:

Let Reshma's present age be x

Therefore Reshma's age 5 years later will be x+5

9 years ago her age would be x-9

Therefore (x-9)×3 = x+5

3x-27 = x+5

3x-x = 5+27

2x = 32

x = 32÷2

x = 16.