Number Problem

Number Theory Level 2

4(abcde4)=4abcde, where a, b, c, d and e are digits of the number. Find c.

4 1 2 3

Jaymar Dolz by Jaymar Dolz , 27, Philippines

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2 solutions

Jaymar Dolz
Aug 13, 2015

Let x=abcde

4(abcde4)=4abcde--> 4(10x+4)=400000+x

hence

x=10256

ABCDE=10256, so C=2

1 Helpful 0 Interesting 0 Brilliant 1 Confused
Jesús Pelayo
Aug 13, 2015

e is clearly 6 because it comes from 4*4. Considering that in the left side, one gets that d=5. Finally, carrying out the multiplication on the left side... c=2.

1 Helpful 0 Interesting 0 Brilliant 0 Confused

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