Correct option is (D) 24, 25
Let x & x+1 are two consecutive natural numbers whose product is 600.
\(\therefore\) x (x+1) = 600
\(\Rightarrow x^2+x-600=0\)
\(\Rightarrow x^2+25x-24x-600=0\)
\(\Rightarrow x(x+25)-24(x+25)=0\)
\(\Rightarrow(x+25)(x-24)=0\)
\(\Rightarrow\) x+25 = 0 or x - 24 = 0
\(\Rightarrow\) x = -25 or x = 24
\(\therefore\) x = 24 \((\because\) x is a natural number, therefore \(x\neq-25)\)
\(\Rightarrow\) x+1 = 25
Hence, required natural numbers are 24, 25.
