amanleon89 amanleon89
  • 16-09-2018
  • Mathematics
contestada

when a number is decreased by 20% of itself, the result is 56 what is the number?

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sid071
sid071 sid071
  • 16-09-2018

Hey there!!

Let us take the number as ' x '

20% of x

= (20/100) × ( x )

= ( 1/5 ) × ( x )

= x/5

The number is decreased by 20% of itself

x - x/5 = 56

5x - x / 5 = 56

4x/5 = 56

Multiplying by 5 on both sides

5x = 56 × 5

5x = 280

dividing by 5 on both sides

4x / 4 = 280 / 4

x = 70

The number is 70

Hope my answer helps!



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