Question

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

Answer 1

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

Answer: 21 and 46.