Question

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

A 32 & 20 Correct Answer Incorrect Answer
B 52 & 40 Correct Answer Incorrect Answer
C 48 & 36 Correct Answer Incorrect Answer
D 44 & 32 Correct Answer Incorrect Answer
E None of these Correct Answer Incorrect Answer

Solution

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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