Question

The sum of two co-prime numbres is 43 and their lcm is 450

Answer 1

Let the two numbers be x and y
Product of the two = LCMxHCF
=LCM(Since HCF=1(they're coprime!))
So,
$xy = 450 \\ x + y = 43$
Solving these two equations, we get
x=18
y=25

Hence, the two numbers are 18 and 25