Question

Three numbers are in the ratio 3: 4: 5 and their HCF is 60. The numbers are:

• A. 20, 15, 12
• B. 180, 240, 300
• C. 45, 60,75
• D. 90, 120, 150

Answer 1

Answer:

B. 180, 240, 300

Numbers in ratio (3:4:5) can be written as:
$3x,; 4x,; 5x$
Since (3, 4, 5) are co-prime, their HCF is 1.
So actual HCF = (x).

Given HCF = 60 ⇒ (x = 60)

Numbers:

$3x = 180,\quad 4x = 240,\quad 5x = 300$

Final Answer: 180, 240, 300