The difference of two numbers is 12 and one-seventh of their sum is 12. Find the numbers.

Let the numbers be x and y . Then, x - y = 12 …….. (i) and `1/7(x+y)=12=x+y=84` ………. (ii) Adding (i) and (ii), we get: 2x = 96 or x = 48. Putting x = 48 in (i), we get: y = 36. Hence, the numbers are 48 and 36.

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