Question 102682
Let the integers be x and y, then:
{{{x*y = 98}}} and
{{{y-x = 7}}} Rewrite this as {{{y = x+7}}} and substitute into the first equation.
{{{x(x+7) = 98}}} Simplify.
{{{x^2+7x = 98}}} Subtract 98 from both sides.
{{{x^2+7x-98 = 0}}} Solve this quadratic equation by factoring.
{{{(x-7)(x+14) = 0}}}
Then x = 7
y = x+7
y = 7+7
y = 14
The two integers are: 7 and 14

Check:
7*14 = 98
14-7 = 7