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The least common multiple of two numbers is 126 the greatest common factor is 9 the difference between the two numbers is 45 what are your two numbers?
Wiki User
∙ 8y ago
Supose A = 9x and B = 9y are the two numbers, where x and y are coprime and x < y.
A*B = LCM*HCF
So that 9x*9y = 126*9
so x*y = 14
so (x,y) = (1,14) or (2,7).
Also, B - A = 45 or 9y - 9x = 45 so that y - x = 5
So (x,y) = (2,7) and the two numbers are 18 and 63.
Wiki User
∙ 9y ago
Wiki User
∙ 8y ago18 and 63
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