The LCM of two consecutive even numbers is 144, find the numbers? A. 16 and 18 B. 14 and 16 C. 18 and 20 D. 22 and 24

Two consecutive even numbers are 2n and 2n + 2, with HCF 2, so LCM = 2n(2n + 2)/2 = 2n(n + 1). Setting 2n(n + 1) = 144 gives n(n + 1) = 72 and n = 8, so the numbers are 16 and 18 (check: LCM(16, 18) = 144).