Question 196820
let a be the larger of two intergers, and b be the smaller
:
a=2b+5......eq 1
a*b=52......eq 2
:
take a's value from eq 1 and plug it into eq 2
:
(2b+5)b=52
:
{{{2b^2+5b-52=0}}}
:
{{{(2b+13)(b-4)=0}}}
:
2b+13=0 and b-4=0
:
b=-13/2 and b=4----->-13/2 is neither an integer or positive
:
b=4---->a=52/4=13