Question 102

Two numbers are in the ratio 5 : 11. If their HCF is 24, then the sum of two these numbers is:

Let numbers be 5x and 11x 
Now we know that 5 and 11 are co prime numbers so their HCF is 1 
Now for the HCF of 5x and 11x to be 24
The value of x has to be 24
So we get numbers as 120 and 264
Therefore their sum will be 120+264 = 384

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