The product of two consecutive odd numbers is 143. The numbers are A)

1.	The product of two consecutive odd numbers is 143. The numbers are A) 13 and 15 B) 11 and 13 C) -11 and 13 D) -13 and 15
Answer» Correct option is (B) 11 and 13 Let x & x+2 are two consecutive odd numbers. \((\because\) Difference between two consecutive odd numbers is 2) \(\therefore x\times(x+2)=143\) \((\because\) Given that product of two consecutive odd integers is 143) \(\Rightarrow x^2+2x-143=0\) \(\Rightarrow x^2+13x-11x-143=0\) \(\Rightarrow x(x+13)-11(x+13)=0\) \(\Rightarrow(x+13)(x-11)=0\) \(\Rightarrow\) x+13 = 0 or x - 11 = 0 \(\Rightarrow\) x = -13 or x = 11 \(\therefore\) x+2 = -13+2 = -11 or x+2 = 11+2 = 13 Hence, required odd numbers are 11 and 13. Correct option is B) 11 and 13

The product of two consecutive odd numbers is 143. The numbers are A) 13 and 15 B) 11 and 13 C) -11 and 13 D) -13 and 15

Answer»

Correct option is (B) 11 and 13

Let x & x+2 are two consecutive odd numbers.

\((\because\) Difference between two consecutive odd numbers is 2)

\(\therefore x\times(x+2)=143\) \((\because\) Given that product of two consecutive odd integers is 143)

\(\Rightarrow x^2+2x-143=0\)

\(\Rightarrow x^2+13x-11x-143=0\)

\(\Rightarrow x(x+13)-11(x+13)=0\)

\(\Rightarrow(x+13)(x-11)=0\)

\(\Rightarrow\) x+13 = 0 or x - 11 = 0

\(\Rightarrow\) x = -13 or x = 11

\(\therefore\) x+2 = -13+2 = -11

or x+2 = 11+2 = 13

Hence, required odd numbers are 11 and 13.

Correct option is B) 11 and 13