Multiple choice

The product of two digits number is 2160 and their HCF is 12. The numbers are:

  1. (72,30)

  2. 36,60)

  3. (12,180)

  4. (96,25)
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

If the HCF is 12, let the numbers be 12x and 12y with coprime x, y. Their product is 144xy = 2160, so xy = 15; hence (x,y) can be (3,5), giving the numbers 36 and 60. Option B matches; note the missing opening parenthesis in its text is a typo.

AI explanation

Let the two numbers be 12x and 12y, where x and y are coprime integers. Their product is given by 12x times 12y = 2160, which simplifies to 144xy = 2160, so xy = 15. Testing the options provided, the pair 36 and 60 simplifies to x equals 3 and y equals 5, both of which are coprime and whose product is 15. The numbers are 36 and 60. The result is 36,60).

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