Math, asked by pavanseerla7, 1 year ago

The product of two- 2 digit numbers is 2160
and their H.C.F. is 12. The numbers are:
1. (12, 60) 2. (72, 30) 3. (36, 60) 4.(60, 72)​

Answers

Answered by sauhardyachakrpe6ont
0

Answer:

3. (36,60)

Step-by-step explanation:

Product of numbers = 36 × 60 = 2160

Now, 36 = 2 × 2 × 3 × 3 = 2² × 3²

60 = 2 × 2 × 3 × 5 = 2² × 3 × 5

Now HCF = product of the common factors

= 2² × 3 = 4 × 3 = 12

Hence, the numbers are (36,60)

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Answered by Anonymous
0

Answer:

(3) [36,60]

Step-by-step explanation:

Product = 2160

HCF = 12

We know that:

HCF × LCM = Product of numbers

LCM = 2160/12

LCM = 180

Among all the options, only (3) satisfies the relation that:

Product = 2160

HCF = 12

LCM = 180

Hope it Helps!!

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