Question

a) a-b=794,a:b= 4 r 83
b)a-b=5085, a:b= 5 r 14

Answer 1

a) a-b = 794
a:b = 4r83 --> a = 4b+83

a-b = 794
4b+83-b = 794
3b+83 = 794
3b = 794-83
3b = 711
b = 711:3
b = 237.

a = 4b+83
a = 4•237+83
a = 948+83
a = 1031.

Verificare : a-b = 1031-237 = 794.




b) a-b = 5085
a:b = 5r14 --> a = 5b+14

a-b = 5085
5b+14-b = 5085
4b+14 = 5085
4b = 5085-14
4b = 5071
b = 5071/4
b = 1267,75.

a = 5b+14
a = 5•1267,75+14
a = 6338,75+14
a = 6352,75.



Verificare : a-b = 6352,75-1267,75 = 5085.



J'espère aidé :)