Made easy

Question

If(10W1Z)2×(15)10=(Y01011001)2 ,then find the valu of W,Y,Z.

Answer 1

for this question we can solve it even faster (there is a small trick)

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(10W1Z)₂  x (15)₁₀ = (y01011001)₂ <==> Let A * B= C

here if you can observe B= 15 so c must be divisible by 3 and 5. 

lets go for 3 : if we take y=0 we get 89 not divisible by 3 and 5 fails.

                                     y=1 we get 345 divisible by both 3 and 5

so (10W1Z)₂= (23)₁₀ = (10111)₂

Therefore x=1, y=1 and z=1 solution.

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Comments

yes u are right it does not always works . i agree to you on this :) but if sometimes they can save ur time.

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that's why i selected your answer as BEST

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thanks bro :)