Răspuns:
⁵⁾2/4+⁴⁾3/5=a/10+b/10
10/20+12/20=(a+b)/10
22/20=(a+b)/10
22·10=20(a+b)
a+b=220:22=>a+b=11
(a,b)=(1,10);(10,1);(2,9);(9,2);(3,8);(8,3);(4,7);(7,4);(5,6);(6,5)
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⁷⁾1/9+⁹⁾1/7=³⁾a/21+b/63
7/9+9/7=3a/63+b/63
16/63=(3a+b)/63
63(3a+b)=63·16
3a+b=16
a=1=>3a+b=16=>3+b=16=>b=16-3=>b=13
a=2,b=10
a=3,b=7
a=4,b=4
a=5,b=1
(a,b)=(1,13);(2,10);(3,7);(4,4);(5,1)
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⁵⁾1/12+⁴⁾1/15=⁶⁾a/10+³⁾b/20
5/60+4/60=6a/60+3b/60
9/60=(6a+3b)/60
9=3(2a+b)=>2a+b=3
a=1,b=1
2·1+1=2+1=3
a,b)=(1,1)
