kdidinehj
kdidinehj kdidinehj
  • 13-05-2020
  • Mathematics
contestada

One number is 6 more than another. Twice the larger number is 5 times the smaller.
Which is the smaller number?

Respuesta :

LukeG1
LukeG1 LukeG1
  • 13-05-2020

Answer:

The smaller number is 4

Step-by-step explanation:

Larger number = x

Smaller number = y

Write 2 equations

y + 6 = x

2x = 5y

Substitute x in the first equation to the second equation

2(y + 6) = 5y

Multiply 2(y + 6)

2y + 12 = 5y

Subtract 2y from both sides of the equation

12 = 3y

Divide both sides of the equation by 3

y = 4

x = y + 6 = 4 + 6 = 10

The smaller number is 4

Hope this helps :)

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