Question
Download Solution PDFTwo different natural numbers are such that their product is less than their sum. One of the numbers must be
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
Two different natural numbers are such that their product is less than their sum. One of the numbers must be 1.
Concept Used:
For two natural numbers, a and b, if their product is less than their sum, then ab < a + b. To satisfy this condition, one of the numbers must be 1.
Calculation:
Let the two different natural numbers be a and b, where a < b.
⇒ ab < a + b
To satisfy the inequality, assume a = 1:
⇒ 1b < 1 + b
⇒ b < 1 + b
Since this inequality is always true for any natural number b, one of the numbers must be 1.
∴ The correct answer is option 1.
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