What two numbers have a sum of 191 and a difference of 63? * Hint: Create a system where one equation represents the sum and one equation represents the difference. (smaller number) (bigger number)

127 &64

Step-by-step explanation:

x+y=191 eq (1) & x-y=63 eq (2)

x=63+y then put in the eq (1)

63+y+y=191

2y=191-63

y=64 then put in the eq (2)

x-y=63

x = 63+y

x=63+64

x=127

both numbers are 127 and 64

Step-by-step explanation:

x = one of the numbers

191-x = the other number

(191-x) - x=63

191-x-x=63 (combine like terms)

191-2x=63 (rearrange)

191-63-2x (simplify)

128=2x

64=x

(127 + 64=191)

(127-64 = 63)