HireMee Written Test Qs.(Quantitative Aptitude) :: H.C.F and L.C.M - Discussion

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Explanation:
(x – 4) is HCF i.e. a factor of both equations

The equations must get satisfied for x - 4

Also, when x = 4, both equations are equal in value.

Putting x = 4 in both equations

42 - 8 (4) + 15 = 42 - k(4) + 1

31 – 32 = 17 – 4k

k = 4