Answer:
(i) \[~a=21,\,b=18\] L.H.S.\[=a-\left( -\text{ }b \right)=21-\left( -18 \right)=21+18=39\] ... (1) R.H.S. \[=a+b=21+18=39\] ... (2) From (I) and (2), we get \[a-\left( -\text{ }b \right)=a\text{ }+\text{ }b\] (ii) \[a=118,b=125\] L.H.S. \[=a-\left( -\text{ }b \right)=118-\left( -\text{ }125 \right)\] \[=118+125=243\] ... (1) R.H.S. \[=a+b=118+125=243\] ... (2) From (1) and (2), we get \[a-\left( -b \right)=a+b\] (iv) \[a=75,b=84\] L.H.S.\[=a-\left( -\text{ }b \right)=75-\left( -\text{ }84 \right)=75+84=159~\] ... (1) R.H.S. \[~=a+b=75+84=159~~\] ? (2) From (1) and (2), we get \[a-(-b)=a+b\] (iv) \[a=28,b=11\] L.H.S.\[=a-\left( -\text{ }b \right)=28-\left( -\text{ }11 \right)=28\text{ }+11=39\] ... (1) R.H.S.\[=a+b=28+11=39\] ... (2) From (i) and (2), we get \[a-(-b)=a+b\]
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