Question

Determinati nr x=100a + 10b + c stiind ca
x=(10a+b)+(10b+c)+(10c+a)




DAU COROANA SI 20 PCT

Answer 1

x=100a + 10b + c
x=(10a+b)+(10b+c)+(10c+a)

100a+10b+c= (10a+b)+(10b+c)+(10c+a)
100a+10b+c= 10a + b + 10b + c + 10c + a
100a+10b+c= 10(a + b + c) + a + b + c
100a+10b+c= 11(a + b + c)
100a+10b+c= 11a + 11b + 11c
89a+c=b+11c
89a=b+10c

a=1
b=9
c=8

x=100a + 10b + c
x=100+90+8
x=198

x=(10a+b)+(10b+c)+(10c+a)
x=(10+9)+(90+8)+(80+1)
x=19+98+81
x=100+98
x=198