Question 577795
The sum of two numbers is 8 and the difference between their squares is 34. Find their difference.
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a+b = 8
{{{a^2 - b^2 = 34}}}
b = 8-a
{{{a^2 - (8-a)^2 = 34}}}
{{{a^2 - 64 + 16a - a^2 = 34}}}
16a - 64 = 34
16a = 98
a = 49/8
b = 15/8