Therefore, it is proved that if the ratio of a to b is equal to the ratio of c to d, then the ratio of a + b to a − b is equal to the ratio of c + d to c − d. This property is called the componendo and dividendo rule. Hence, we have: 2(y – x)/(y – x) = 2.
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Navin Saxena answered this
i).Componendo : If a:b=c:d,then a+b:b=c+d/d
ii).Dividendo: : If a:b=c:d,then a-b:b=c-d/d
iii).Componendo & Dividendo (ie combined application) If a:b=c:d,then a+b:a-b=c+d/c-d
