If a : b = 3 : 1, find a + b : a – b.
Explanation:
Let a = 3x and b = x
a + b = 4x and a – b = 2x
a + b : a – b = 4x : 2x = 2 : 1
Alternately,
Apply Componendo & Dividendo, i.e.
If x/y = p/q, then x+yx-y=p+qp-q
∴ a+ba-b=3+13-1=42=21
Hence, option (a).
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