Respuesta :

Question :-

  • 2/3 of a number is less than the original number by 20. Find the number.

Required Solution :-

  • The original no. is 60

Explanation:-

  • Let the original no be" x "

  • It’s given, 2/3 of a number is less than the original number by 20.That means 2/3 of a no is =2/3x And 20 less than the original no = x-20.

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

[tex]\qquad \pmb{\sf\longrightarrow \dfrac{2}{3 }x= x-20}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow \dfrac {2}{3}x-x=-20}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow \dfrac{ 2x-3x}{3}=-20}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow \dfrac{ -1x}{3}=-20}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow -1x=-20\times 3}[/tex]

[tex]\qquad \pmb{\sf\longrightarrow -1x=-60}[/tex]

[tex]\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ x= 60}}}}}}[/tex]

Therefore–

  • The original no. is 60.

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