stevenameehan27 stevenameehan27
  • 03-03-2020
  • Mathematics
contestada

The sum of two numbers is 1. Five times the larger number plus four times the smaller number is 20. Find the numbers.

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oladipupog80
oladipupog80 oladipupog80
  • 04-03-2020

Answer:

16 and -15

Step-by-step explanation:

Let the numbers be x and y

x+y = 1 ..............(1)

5x + 4y = 20 .........(2)

Solve simultaneously using elimination method by multiplying equation 1 by 5 to eliminate x

5x + 5y = 5

5x + 4y = 20.   Subtract the eqns from each other

---------------------

5y - 4y = 5-20

y = -15

Put value of y into equation 1

x+y = 1

x -15 = 1

Add 15 to both sides

x = 1+15

x = 16

Therefore the numbers are 16 and -15

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