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source (i)89+116(ii)3+57(iii)112 and 215(iv)819+457(v)79+34(vi)526+1139(vii)169+512(viii)138+536(ix)0+35(x)1+45(xi)516+724

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Solution

(i)89+116LCM of 9,6=1889=8×29×2=1618and 116=11×36×3=3318Now 89+116=1618+3318=163318=1718

(ii) 3+57=3+57(57=5×(1)7×(1)=57)=31+57=2157=167

(iii) 112+215=112+215⎪ ⎪⎪ ⎪112=1×(1)12×(1)=112and215=2×(1)15×(1)=215⎪ ⎪⎪ ⎪LCM of 12,15=60112=1×512×5=560and 215=2×415×4=860Now =112+215=560+860=5860=1360

(iv) 819+457LCM of 19,57=57819=8×319×3=2457and 457=4×157×1=457Now 819+457=2457+457=24457=2857

(v) 79+3479+34{34=3×(1)4×(1)=34}LCM of 9,4=3679=7×49×4=2836and 34=3×94×9=2736Now 79+34=2836+2736=282736=136

(vi) 526+1139526+1139{1139=11×(1)39×(1)1139}LCM of 26,39=78526=5×326×3=1578and 1139=11×239×2=2278Now 526+1139=1578+2278=152278=778

(vii) 169+512LCM of 9,12=36169=16×49×4=6436512=5×312×3=1536Now 169+512=6436+1536=641536=7936

(viii) 138+536LCM of 8,36=72138=13×98×9=11772536=5×236×2=1072Now 138+536=11772+1072=117+1072=10772

(ix) 0+35=35(Zeropropertyofaddition)

(x) 1+45=55+45(11=1×51×5=55)=545=15

(xi) 516+724LCM of 16,24=48516=5×316×3=1548and 724=7×224×2=1448Now 516+724=1548+1448=15+1448=148


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