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Positive pairs (a,b) and (c,d) satisfy b/a = d/c = k. Which new pair must have the same second/first ratio k?

A(a−c, b+d)
B(a+c, b+d)
C(a+c, bd)
D(a+c, b−d)
Answer & Solution
Correct answer: B. (a+c, b+d)
Since b = ka and d = kc, their sum b + d equals k(a + c), preserving the ratio.
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