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Let the HCF of the numbers be x. ⇒LCM of the numbers=45 times x=45*x=45x. Sum of HCF and LCM is given as 1150 . Therefore , by the condition , 45x+x=1150 ⇒46x=1150 ⇒x=1150/46=25. ⇒HCF of the numbers=25 and LCM of the numbers=25*45=1125. Now we have the information HCF=25 , LCM=1125 and one number=225. We know the formula (Product of HCF and LCM of 2 numbers)/(1 number)=Other number. Or, 25*1125/225 =5*1125/45 =1125/9 =125. Ans:The numbers are 225 and 125. ================================= Click on the yellow button below