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Sum of 2 natural numbers & their LCM is 89. How many pairs of numbers satisfy this condition?
- a)4
- b)5
- c)6
- d)7
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Sum of 2 natural numbers & their LCM is 89. How many pairs of numbers...
Let the HCF be H, numbers be HA and HB (A and B are co-prime), therefore LCM= HAB
Product of numbers and LCM= HA x HB x HAB = H( A+B+AB) =89
Therefore H=1 and ( A+B+AB)= 89. OR (A+1)(B+1)= 90. Therefore
i) A= 8, B=9
ii) A=44, B=1
iii) A=29, B=2
iv) A=4, B= 17
v) A= 5, B=14
Hence (b)
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Community Answer
Sum of 2 natural numbers & their LCM is 89. How many pairs of numbers...
The sum of 2 natural numbers is another natural number.
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Sum of 2 natural numbers & their LCM is 89. How many pairs of numbers satisfy this condition?a)4b)5c)6d)7Correct answer is option 'B'. Can you explain this answer?
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