Answer:
Multiples of 120 are 120, 240, 360, 480, 600, 720, 840 etc; Multiples of 150 are 150, 300, 450, 600, 750, 900 etc; Therefore, the least common multiple of 120 and 150 is 600.
Least common multiple (LCM) of 19600 and 19619 is 384532400.
Let Mike be m and Adam be m+2. Then:
m²+28=(m+2)²
m²+28=m²+4m+4
4m=24
m=6
Mike is 6; Adam is 8
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