Question

The sum of two numbers is 9 and the difference is 1
What are the two numbers? Brainiest will be rewarded!!

Larger Number:
Smaller Number:

Answer 1

Answer:

Larger number = 5

Smaller number = 4

Step-by-step explanation:

Let one number be 'x' , another number be 'y'

Given,

sum of two numbers is 9

x + y = 9  (equation 1)

and

difference of two numbers is 1

x - y = 1  (equation 2)

From equation 2,

x - y = 1

x = 1 + y

Substituting x = 1 + y in equation 1,

x + y = 9

1 + y + y = 9

1 + 2y = 9

2y = 9-1

y = 8/2

Therefore,

y = 4

Substituting y = 4 in equation 1

x + y = 9

x + 4 = 9

x + 9 - 4

Therefore,

x = 5

Answer 2

Answer:

Answer is -4 and 13

Step-by-step explanation:

let the two numbers be x and y.

So, x-y=1

x+y=9

: x-y+1=x+y+9

x-x-y-y=9-1

-2x=8

x=8/-2=-8/2

x=-4(smaller number)

larger number=x+y=9(according to the statement in the question)

-4+y=9

y=9+4

y=13

Hope this will help you

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