Question

Two numbers have these properties.

Answer 1

Answer:

• 16 and 40

Step-by-step explanation:

Let the numbers be x and y

HCF is 8, so both numbers are multiples of 8 ⇒ x = 8n, y = 8m

As per property of numbers, the product of numbers is equal to product of their LCM and HCF:

• xy = HCF(x,y) × LCM(x,y)

Since LCM(x,y) = 80 we have:

• 8×80 = xy
• 8×80 = 8n×8m
• 10 = nm

Possible option:

• n = 2, m = 5

Then the numbers are:

• x = 2*8= 16
• y = 5*8 = 40