if a:b::c:d, prove that 2a+5b/2a-5b=2c+5d/2c-5d
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if a:b::c:d, prove that 2a+5b/2a-5b=2c+5d/2c-5d
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Given,
a:b::c:d or a/b=c/d
Multiply both the fractions by 2/5.
now, 2a/5b=2c/5d
By Componendo and Dividendo ((numerator 1+denominator 1)/(numerator 1-denominator 1)=(numerator2+denominator 2)/(numerator 2-denominator 2));
2a+5b/2a-5b=2c+5d/2c-5d
(hence,proved).
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