Answer:
37
Step-by-step explanation:
Product of two consecutive integers: assuming [tex]x[/tex] to be the first positive integer so the next consecutive integer will be [tex]x+1[/tex].
So we get the equation:
[tex]x(x+1)=1332[/tex]
Now solving it to get the value of the larger integer (x+1):
[tex] x ^ 2 + x = 1332 [/tex]
[tex] x ^ 2 + x - 1 3 3 2 = 0 [/tex]
[tex](x+37)(x-36)=0[/tex]
(Ignoring the negative value of x)
[tex]x=36[/tex]
Therefore, the larger integer will be [tex]x+1=36+1=[/tex] 37.
