Question

Determinati numerele naturale de forma ab stiind ca
2×ab+2×ba=132

Answer 1

2×ab + 2×ba =132
2×(ab+ba) = 132
ab +ba = 132:2
ab +ba = 66
10×a +b +10×b +a = 66
11×a + 11×b = 66
11×(a+b) = 66
a+b = 66:11 = 6
1+5= 6
2+4 = 6

deci ab poate fi:
15, 24, 51, 42 .

Verificare:
15 + 51 = 66
24+42 = 66
51+15 = 66
42+24 = 66