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Jack chooses two numbers between 50 and 150

The two numbers have a Lowest Common Multiple (LCM) of 420

They have a Highest Common Factor (HCF) of 28

Work out what the two numbers are.​

User Zimba
by
6.8k points

1 Answer

12 votes

Answer:

84 and 140

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

User Pm Duda
by
8.7k points

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