• Math

  Word Problem Linear Equation

  Posted by Aditya on June 23, 2023 at 3:08 pm

  A positive number is 5 time another number. If 21 is added to both the numbers, then one of the new numbers become twice of other new numbers. Find the original numbers.

  Pooja replied 3 months, 1 week ago 2 Members · 1 Reply

  • linear-algebra
  • linear-equations
  • mathclass8
• 1 Reply

• 

  Pooja

  Member

  June 23, 2023 at 3:45 pm

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  Let the two numbers be x and y

  According to first condition,

  x=5y ……(1)

  21 is added to both the numbers

  Therefore we have (x+21) and (y+21)

  According to second condition

  x+21=2(y+21)

  From equation (1)

  5y+21=2y+42

  5y-2y=42-21

  3y=21

  y=7

  Substituting y=7 in eq(1) , we get

  x=5(7)

  x=35

  Hence the two numbers are 7 and 35

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