The sum of 2 numbers is 38. The grarter number is 8 more than the other number find each number ise a aystem of linear equations to justify your answer

x = 23 ; y = 15

Step-by-step explanation:

Given :

Let the numbers be : x and y

x + y = 38 - - (1)

x = y + 8 - - - (1)

Put x = y + 8 into (1)

y + 8 + y = 38

2y + 8 = 38

2y = 38 - 8

2y = 30

y = 30/2

y = 15

x = y + 8

x = 15 + 8

x = 23

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