Question

100c+10b+a=495
vă rog coroană​

Answer 1

Răspuns:

abc=100a+10b+c

cba=100c+10b+a

abc-cba=(100a+10b+c)-(100c+10b+a)=495

100a+10b+c - 100c-10b - a=495

99a -99c=495

99(a-c)=495

a-c=495/99

a-c=5

a=9 ⇒  9-5=c⇒c=4

a=8 ⇒ 8-5=c⇒c=3

a=7⇒  7-5=c⇒c=2

a=6⇒  6-5=c⇒c=1

si b= 0,1,2,3,4,5,6,7,8,9

nr sunt:904, 914,924,944,954,964,974,984

           803,813,833,843,843,863,873,893

           703,723,732,742,752,762,782,792

           601,621,631,641,651,661,681,691

Explicație pas cu pas: