Question

aflati doua numere naturale stiind ca suma lor este 102 iar impartind numarul mare la cel mic obtinem catul 2 si restul 12

Answer 1

Let x be the smaller natural number and y be the larger natural number. We know that:

x + y = 102 (equation 1)
y = 2x + 12 (equation 2)

Substituting equation 2 into equation 1, we get:

x + (2x + 12) = 102

Simplifying and solving for x, we get:

3x + 12 = 102
3x = 90
x = 30

Substituting x = 30 into equation 2, we get:

y = 2(30) + 12
y = 72

Therefore, the two natural numbers are 30 and 72.