Question

Higher Order Thinking Skills (HOTS)
15. The HCF of three numbers is 8. The sum of the
numbers is 80. List the possible sets of such
three numbers,​

Answer 1

Answer:

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)