Răspuns:
Explicație pas cu pas:
a/b= 75/100
100a= 75b
a/75= b/100 =k
a/75 = K →a= 75 k
b/100=K→b= 100k
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(a+1) / (b+1)= 0,76=76/100
(75K +1) /( 100k+1)=76/100
(76/100)⁽⁴=19/25
25*( 75k+1) = 19*( 100k+1)
1900k +19= 1875K+25
1900K- 1875K= 25-19
25K = 6
K= 6/25
a=75K= 75*6/25= 18
b= 100K=100*6/25=24
a=18∈N
b= 24∈N
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succesorii :
a= 19
b= 25
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Verificare :
18/24= 0,75
19/25= 0,76
