turkey-yks 2015 Q5

turkey-yks · Other · lys1-math Number Theory GCD, LCM, and Coprimality

$\mathbf { a } < \mathbf { b } < \mathbf { c }$ are positive integers and
$$\begin{aligned} & \gcd ( a , b ) = 5 \\ & \gcd ( b , c ) = 4 \end{aligned}$$
Given this, what is the minimum value that the sum $\mathbf { a + b + c }$ can take?
A) 27
B) 35
C) 39
D) 45
E) 49

$\mathbf { a } < \mathbf { b } < \mathbf { c }$ are positive integers and

$$\begin{aligned}
& \gcd ( a , b ) = 5 \\
& \gcd ( b , c ) = 4
\end{aligned}$$

Given this, what is the minimum value that the sum $\mathbf { a + b + c }$ can take?\\
A) 27\\
B) 35\\
C) 39\\
D) 45\\
E) 49

Paper Questions

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