2026/087) The LCM of two even numbers is 90. Which are the numbers

The 2 numbers are even so let the 2 numbers be 2x and 2y where x and y are co-primes

So lcm = 2xy

As product of numbers is same of product of LCM and HCF so we have

2xy = 90

Or xy = 45

x and y are co-primes

Factor $45 = 3^2 * 5$

As x and y are co-primes so no prime shall divide both and highest power will be present of a prime is a factor

So $(x,y)$ are $(1,45)$ or $(9,5)$ so the 2 even numbers are $(2,90)$ or $(18,10)$