Math, asked by putty, 1 year ago

The HCF  of three numbers is 8. The sum of the three numbers is 80. List the possible sets of such three numbers.






vinu237: examples of such 3 numbers are 8 , 32 , 40

Answers

Answered by Arslankincsem
85

The HCF of three number is 8


The sum of three number is 80


Let the three numbers be 8x, 8y, and 8z where x, y and z are co-prime numbers.


8x + 8y + 8z = 80


8 (x + y + z) = 80


x + y + z = 10


Hence, the pair of co-prime number can that can give sum are (1, 2, 3), (1, 3, 6), and (1, 4, 5)


The three pair of such number can be (8, 16, 52), (8, 24, 48) and (8, 32, 40)


Answered by theghostmanno1
18

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