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i think i have it but idk

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The number \(5\,41G\,507\,2H6 \) is divisible by 72. If G and H each represent a single digit, what is the sum of all distinct possible values of the product GH? (Count each possible value of  only once, even if it results from multiple G,H pairs.)

 

I thinks it's 64 or 329 but i don't know pls help

 Oct 12, 2020

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The values of G, H are as follows:

 

G =1  and  H = 5: So that:5411507256 mod 72 = 0

G =5  and  H = 1: So that:5415507216 mod 72 = 0

G =6  and  H =9: So that:5416507296 mod 72 = 0

 

I will you take care of their sums and products.

 Oct 12, 2020
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I got it, thanks

 Oct 12, 2020

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