The sum of two numbers is 67. the larger number is 4 more than 2 times the smaller. what are the two numbers?
a) 23 and 44
b) 21 and 46
c) 19 and 48
d) 17 and 50

X,y - two numbers (x > y)

(1)    x + y = 67 ⇒ x = 67 - y
(2)    x - 4 = 2y

subtitute (1) to (2)

67 - y - 4 = 2y
63 - y = 2y    |add y to both sides
63 = 3y    |divide both sides by 3
y = 21

subtitute the value of y to (1)

x = 67 - 21 = 46

21 and 46.

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