Question

determinati cel mai mic nr natural care, impartit la 10, da restul 9 si impartit la 9, da restul 8 dau coroana

Answer 1

n : 10 = c rest 9 => n = 10 × c + 9 |+1 =>

n : 9 = c1 rest 8 => n = 9 × c1 + 8 |+1 =>


=> n + 1 = 10 × ( c + 1)

=> n + 1 = 9 × (c1 + 1)


n + 1 = c.m.m.m.c [10; 9)

n + 1 = 10 × 9

n + 1 = 90

n = 90 - 1

n = 89
______


89 : 10 = 8 rest 9
89 : 9 = 9 rest 8

Answer 2

a:10 =b rest 9
a:9=b rest 8
a-b=8*9
a-b=72
a=72+b

72+b :10=b rest 9
b+b=9*10-72
2b=90-72
b=18:2
b=6

a=72+b
a=72+6
a=78

Sper ca te am ajutat ☺️