What is the smallest positive number that can be added to 55 so that the resulting number and 45 have 9 as their greatest common
factor?
1 answer:
Answer:
The smallest positive number is 8
Step-by-step explanation:
let the smallest positive number = x
45 is a multiple of 9 ⇒ 9 x 5 = 45
the next multiple of 9 after 55 is 63
= 9 x 7
= 63
Thus, x + 55 = 63
x = 63 - 55
x = 8
The greatest common factor of 45 and 63 = 9
Therefore, the smallest positive number is 8
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