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 ,
⇒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,
Ans:The numbers are 225 and 125.
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