Correct Answer - Option 4 : 5
Given,
Product of two consecutive odd numbers = 35
Calculation:
Let the smaller odd number be a.
Hence, next odd number = a + 2
According to the question
⇒ a (a + 2) = 35
⇒ a2 + 2a = 35
⇒ a2 + 2a – 35 = 0
⇒ a2 + 7a – 5a – 35 = 0
⇒ a (a + 7) – 5 (a + 7) = 0
⇒ (a + 7) (a – 5) = 0
Taking,
⇒ a – 5 = 0
⇒ a = 5
The smaller odd number = 5