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Number Theory Level 2

Think of any whole number, double it and add five. Double this answer and then add two. Now take away the number you first thought of. Your answer will always be?

a multiple of 3 even a multiple of 6 a multiple of 5 odd

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Vraj Mistry by Vraj Mistry , 21, India

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1 solution

Tea Quack
May 21, 2015

Let the number you think be X X . 2 [ 2 x + 5 2[2x+5 ]+ 2 − x 2-x is always a multiple of three. Try it out now! XD

2 Helpful 0 Interesting 0 Brilliant 0 Confused

I think you should mention that 2 ( 2 x + 5 ) + 2 − x = 4 x + 10 + 2 − x = 3 x + 12 = 3 ( x + 4 ) 2(2x+5)+2-x = 4x+10+2-x = 3x + 12 = 3(x+4) , and therefore will always be a multiple of 3.

Feathery Studio - 6 years ago

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