Question

aflati abc daca abc+ab+ac =541

Answer 1

Răspuns:

453

Explicație pas cu pas:

100a+10b+c+10a+b+10a+c=541

120a+11b+2c=541

a, b,c cifre a≠0

pt a≥5 suma ≥600>541

pt a≤3, 11b+2c≥541-360=181>13*9=117 deci imposibil

ramane a=4

a=4

480+11b+2c=541

11b+2c=61

pt b≥6, suma ≥66

b=5

2c=61-55=6

c=3

abc numar=453

verificare

453+45+43=453+86=541 adevarat

pt b=4, 2c=61-44=17, impar, c nu mai e cifra

pt b=3, 2c=61-33=28 c=14>9

deci 453 solutie unica