Answer:
84 and 140
Step-by-step explanation:
Jack chooses two numbers between 50 and 150
The two numbers have a Lowest Common Multiple (LCM) of 420
Factors of 420 between 50 to 150
= 60, 70, 84, 105, 140
We are also told that:
They have a Highest Common Factor (HCF) of 28
Hence, we find out of the factors above, which numbers can be divided by 28 without having any remainder.
60/28 = 2.1428571429
70/28 = 2.5
84/28 = 3
105/28 = 3.75
140/28 = 5
Therefore, the two numbers are
84 and 140
