The larger of 2 positive integers is 5 more than twice the smaller integer The product of the integers is 52 find the integers?

y=2x+5

xy=52

x(2x+5)=52

2x2+5x-52=0

(2x+13)(x-4)=0

x=-6.5 or x=4

Since you specified positive integers, x=4.

y=2*4+5=13

So, the two numbers are 13 and 4.