Question

the product of two consecutive odd number is 19043. which is the smaller number.
a. 137
b. 131
C. 133
d. 129

Answer 1

(2n+1) (2n+3) = 19043

137

Answer 2

Let the two numbers be x and x + 2

Produc5 of two consecutive numbers = 19043

x ( x + 2) = 19043

x^2 + 2x = 19043

x^2 + 139x - 137x - 19043 = 0

x ( x + 139) - 137(x + 139) = 0

(x - 137)(x + 139) = 0

X = 137

Ans. The two consecutive numbers = 137 and 139
The smaller number = 137