A) 8
B) 6
C) 4
D) 2
Correct Answer: B
Solution :
let the numbers are a and b. Then, \[ab=24\,\,(a-b)\] ?....(i) and \[a+b=14\] \[b=(14-a)\] Put in equation (i)- \[a\,(14-a)=24\,(a-14+a)\] \[a\times 14-{{a}^{2}}=-336+48a\] \[{{a}^{2}}+34\,a-336=0\] \[{{a}^{2}}+42a-8a-336=0\] So, \[a=8\]and b = 6 \[\therefore \] Smallest number = 6You need to login to perform this action.
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