Răspuns: 336 si 224 => cele doua numere
Explicație pas cu pas:
a - b = 2 × ( a + b ) - 1 008
2 × a + 2 × b - 1 008 = a - b
2 × a + 2 × b - a + b = 1 008
a + 3 × b = 1 008
_____________________
a + b = 5 × ( a - b )
⇒ 5 × a - 5 × b = a + b
5 × a - a = b + 5 × b
4 × a = 6 × b l : 2
2 × a = 3 × b ⇒ a = (3 × b) / 2
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a + 3 × b = 1 008
3×b/2 + 3 × b = 1 008 l × 2
3 × b + 6 × b = 2 × 1 008
9 × b = 2 016
b = 2 016 : 9 ⇒ b = 224
a = ( 3 × 224 ) / 2
a = 3 × 112 ⇒ a = 336
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Verific: 336 + 224 = 5 × ( 336 - 224 )
560 = 5 × 112 √
