yhkang2008 yhkang2008
  • 16-04-2022
  • Mathematics
contestada

When a certain number is divided by 20, the result is same when number is decreased by 361. What is the number?

Respuesta :

devishri1977
devishri1977 devishri1977
  • 16-04-2022

Answer:

The number is 380

Step-by-step explanation:

Let the number be 'x'

[tex]\sf \dfrac{x}{20}=x-361\\\\\text{multiply the entire equation by 20}\\\\20*\dfrac{x}{20}=20*(x-361)[/tex]

x  = 20x - 20*361

x = 20x - 7220

Now subtract '02x' from both sides

x - 20x = -7220

  -19x   =-7220

Divide both sides by (-19)

     x = (-7220) ÷ (-19)

    x = 380

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