1.

The sum of two numbers is 184. If one-third of the one exceeds one-seventh of the other by 8, find the smaller number.

Answer»

Let the numbers be x and (184 - x). 

Then, (X/3) - ((184 – x)/7) = 8 

=> 7x – 3(184 – x) = 168 

=> 10x = 720 

=> x = 72. 

So, the numbers are 72 and 112. 

Hence, smaller number = 72.



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