Question

Two numbers are in the ratio of 15:11. If their H.C.F. is 12, find the Numbers.

• A. 180,132
• B. 186,165
• C. 184,139
• D. 133,169

Answer 1

The Correct Option is A

Step 1: Let the numbers be 15x and 11x, where x is the common multiplier. 

Step 2: Since the HCF of the numbers is 12, we have:

\(\text{HCF}(15x, 11x) = 12\)

Step 3: The HCF of 15 and 11 is 1, so:

\( x = 12 \)

Step 4: Then the numbers are:

• \( 15x = 15 \times 12 = 180 \)
• \( 11x = 11 \times 12 = 132 \)

Thus, the numbers are 180 and 132.