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4 solutions
thanks for your nice and well detailed solution to my problem...
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No problem.
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ok...BTW are you sure that yo are only 13 yrs old kid??
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@Lorenz Navales – I am. These are extremely easy.
Nice question @lorenz navales nice solution @Armain Labeeb btw, I did trial and error of the options since the lcm is 40. :P
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ya your right...,there is a hint to the question...
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Traditionally solving easy questions now is kinda boring, but questions like this in which we can get the answer by simple trial and error becomes too interesting. :) Looking forward to see more of such questions from you in future.
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@Ashish Menon – thanks @Ashish Siva for your opinion that my problem is interesting and not boring..hahha
Use common sense, the "x" is in denominator. Only for x=40, or x=8 can make the LCM 40, as the answer is 4 0 2 3
5 1 + x 3 = 4 0 2 3 x 3 = 4 0 2 3 − 5 1 x 3 = 4 0 2 3 − 8 x 3 = 4 0 1 5 x 3 = 8 3 x = 8
⟹ ⟹ ⟹ ⟹ ⟹ ⟹ ⟹ ⟹ ⟹ ⟹ ∴ 5 1 + x 3 5 x x + 5 x 1 5 5 x x + 1 5 x + 1 5 x + 1 5 x + 1 5 8 ( x + 1 5 ) 8 x + 1 2 0 2 3 x − 8 x 1 5 x x x = 4 0 2 3 = 4 0 2 3 = 4 0 2 3 = 4 0 2 3 ( 5 x ) = 4 0 1 1 5 x = 8 2 3 x = 2 3 x = 2 3 x = 1 2 0 = 1 2 0 = 1 5 1 2 0 = 8