Question 607520
smaller odd number = x
larger odd number = x + 2


x*(x + 2) = 21 + 2*(x + 2)
{{{x^2 + 2x = 21 + 2x + 4}}}
{{{x^2 + 2x = 25 + 2x}}}
{{{x^2 + 2x - 2x - 25=0}}}
{{{x^2 - 25=0}}}
(x - 5)*(x + 5) = 0
x - 5 = 0 or x + 5 = 0
x = 5 or x = -5
because the number is positive, we choose x = 5
larger number = x + 2 = 5 + 2 = 7


so, the larger number is 7