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Asked in PPSC, FPSC and other one-paper exams (compiled from unofficial resources).

AlgebraQuadratic Equations

The sum of the squares of two positive integers is $100$ and the difference of their squares is $28$. What is the sum of the numbers?

A.$12$
B.$14$Correct answer
C.$16$
D.$18$

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Quick fact: The sum of the two numbers is $14$.

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