Respuesta :

Question :-

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

Required Solution :-

  • Reshma is 16 years now.

Explanation :-

  • Let the present age of Reshma be X years.

Provided That :-

  • Her age after 5 years = X+5
  • Her age 9 years ago = x-9

[tex]\qquad[/tex] According to the question :-

[tex]\qquad \pmb{\sf\longrightarrow X+5 = 3(x-9)}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow X+5= 3x- 27}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow X-3x = -27-5}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow -2x= -32}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow 2x= 32}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow X= \cancel{\dfrac{32}{2}}= 16}[/tex]

[tex]\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ X = 16 }}}}}}[/tex]

Therefore

  • Reshma is 16 years now.

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