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If the product abc equals 455 and product aaabc equals a0a0a what are the values that b and c will take if they are co-prime to each other and b is greater than 1?
Wiki User
∙ 14y ago
aaa*b*c=a0a0a
This can be written as 111*a*b*c=a0a0a ---(1)
Given: a*b*c=455. ---(2)
Substituting (2) in (1),
111*455=a0a0a ---(3)
Also,
111*455= 50505 ---(4)
Comparing (3) and (4), a=5.
This implies b*c=91.
If b and c are co-prime to each other and b b=7 and c=13 is the only solution (b>1).
Wiki User
∙ 14y ago
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