Question

find two numbers between 100 and 150 that have an HCF of 24?

Answer 1

hii..
2 integers between 100/24 and 150/24 are 5 and 6, hence 5*24 = 120 and 6*24 = 144 are two numbers between 100 and 150 that have an HCF of 24.

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Answer 2

120 and 144 are two numbers between 100 and 150 with HCF 24​

Given:

• Two numbers between 100 and 150 with HCF 24​

To Find:

• The Numbers

Solution:

HCF Highest common factor of given numbers is the largest factors which divides all the given numbers perfectly.

HCF = product of common factors of least power

Step 1:

Assume that two numbers are

24a , 24b

where a and b are co prime  as 24 is the HCF

Step 2:

Find Multiples of 24 Between 100 and 150

120 , 144         (Multiples of 24 are 24 , 48 , 96 , 120 , 144 , 168 , ...)

Step 3:

Find value of a and b

24a = 120 => a = 5

24b = 144 => a = 6

5 and 6 are co primes Hence satisfies the condition

Hence, 120 and 144 are two numbers between 100 and 150 with HCF 24​