Question

The product of the HCF and LCM of two numbers is 1280. If one number is
32, find the other number.
Take any 2 co-prime numbers and find their product. Find out if the product of
their HCF and LCM is equal to the product of the numbers.​

Answer 1

Answer: 40

Step-by-step explanation:

Product = 1280

One number = 32

HCF * LCM = Number * Number

HCF * LCM = 32 * x

x = 1280/32=40

Second number = 40

Co-prime numbers = 7 and 5

HCF of 7 and 5 = 1

LCM of 7 and 5 = 35

HCF * LCM = 35 * 1 = 35

Product of numbers = 7 * 5 = 35

Thus, HCF * LCM = Number * Number