Q13/097) The LCM of 2numbers is 45 times their HCF.Sum of HCF and LCM is 1150, find the numbers?

LCM = 45 *HCF
LCM + HCF = 46 * HCF = 1150

so HCF = 25 and LCM = 25 * 45

now both x and y ( the 2 numbers are) multiple of 25 and coprime

so we x = 25m, y = 25n and LCM(m,n) = 45, HCF(m,n) = 1

without loss of generality let m >= n

mn = 45 = 1 * 45 = 5 * 9
so m = 9, n =5 or m = 45 , n= 1

numbers are (225,125) or (1125,25)