milanjordan2526 milanjordan2526
  • 19-01-2021
  • Mathematics
contestada

(3) The difference between two numbers is 8. If the larger is

subtracted from three times the smaller, the difference is 100. Find

the numbers.

Respuesta :

samuelonum1
samuelonum1 samuelonum1
  • 22-01-2021

Answer:

x= 62

y= 54

Step-by-step explanation:

Step one:

given data

let the numbers be x and y and the larger be x the smaller be y

The difference between two numbers is 8

x-y= 8-----------1

If the larger is  subtracted from three times the smaller, the difference is 100

3y-x=100------------2

from eqn 1, x= 8+y

put this in eqn 2

3y-(8+y)=100

3y-8-y=100

collect liker terms

3y-y-8=100

2y=108

y= 54

put y= 54 in eqn 1

x-y=8

x-54= 8

x= 8+54

x=62

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