Monday, 20 October 2025

Exercise (1.3).3

Determine the least positive integer values of the following linear combinations ($x$ and $y$ are integers):

(a) $132x + 174y$

(b) $102x + 207y$

(c) $99x + 1008y$

(d) $666x + 3020y$


The least positive integer values of $ax + by$ is $\gcd(a,b)$.

(a) 6

(b) 3

(c) 9

(d) 2