Question

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

Answer 1

$\huge{ \mathbb{ \boxed{ \blue{Solution \: :-}}}}$



Let the present age of Reshma be x

After 5 years, Reshma's age will be x + 5

Nine years ago, Reshma's age = x - 9

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According to the question,

x + 5 = 3(x - 9)

x + 5 = 3x - 27

x - 3x = -27 - 5

$\cancel{-}$2x = $\cancel{-}$32

2x = 32

x = $\dfrac{32}{2}$

x = 16

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Present age of Reshma is x years

We got the value of x, i.e., 16


$\therefore{}$ Present age of Reshma => x = $\underline{ \underline{16 \: years}}$

Answer 2

$\textsf{According to the Question,}$


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


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


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


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


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


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


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


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


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