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Mathematics 16 Online
OpenStudy (anonymous):

HGFE x4= EFGH What number does each letter stand for? Is it zero for all.

OpenStudy (anonymous):

how about 2178 :-) The trick is how to get at that answer

OpenStudy (anonymous):

Wow. How?

OpenStudy (anonymous):

well, you can start by looking at H. H*4 must be < 10 (otherwise the rhs would be 5 digets) So H is either 0, 1, 2. If H is 0 then the whole things breaks down to 0000 H cannot be 1 as E*4 cannot be odd. So non-trivially H must be 2 We know that H*4 is the lower bounds for E. Thus E must be 8 or 9. We also know that E*4 mod 10 is 2 so E must be 8 .....

OpenStudy (anonymous):

I'm reading

OpenStudy (anonymous):

Would u mind finishing please

OpenStudy (anonymous):

since h is 2 and e is 8 we know that g*4 cannot be more than 9 as that would result in a carry. thus g is 0,1,2 we know that since e is 8 that e*4 results in a 3 carry. f*4 is even and with a 3 carry will be odd. That tells us that g cannon be even. Thus we now know that g is 1 f*4 + 3 thus ends in a 1 and it follows that f*4 must end in an 8 that makes f 7 HGFE 2178

OpenStudy (anonymous):

That's awesome. Your great. Thank so much.

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