Question

The product of two consecutive integers is 156. Find the integers. a. 10 and 13 b. 12 and 13 c. 12 and 11 d. 1 and 13

Answer 1

b. 12 and 13

Explanation:

let x be the 1st number and x + 1 is the 2nd number

x(x+1) = 156

x² + x - 156 = 0

(x+13)(x-12)=0

x+13=0

x = -13

x-12=0

x = 12

∴ the 1st number is 12 and the second number is 13