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icang [17]
3 years ago
7

Suma doua numere este 702.Diferenta lor este un sfert din scazator .Afla cele doua numere dAU COROANA

Mathematics
1 answer:
Molodets [167]3 years ago
8 0

Answer:

Cele două numere căutate sunt:

  1. <u>390 </u>
  2. <u>312</u>

Step-by-step explanation:

Pentru a rezolva necunoscutul cu aceste două numere, trebuie create două ecuații cu două necunoscute X și Y cu informațiile obținute: În primul rând, știm că suma celor două numere este egală cu 702, prin urmare:

1. <u>X + Y = 702 </u>

Apoi se menționează că diferența (adică scăderea) dintre cele două numere este egală cu un sfert din numărul cel mai mic, pentru a avea o referință, vom identifica variabila Y ca fiind cel mai mic număr, deci a doua ecuație ar fi:

2. <u>X - Y = 0,25Y</u> sau <u>Y / 4 </u>

Ștergem variabila X în a doua ecuație:

  • X - Y = 0,25Y
  • X = 0,25Y + Y
  • <u>X = 1,25Y </u>

Ecuația 1 este acum folosită cu X-ul șters:

  • X + Y = 702
  • 1,25Y + Y = 702
  • 2,25Y = 702
  • Y = 702 / 2,25
  • <u>Y = 312 </u>

Acum, din moment ce se știe că este X = 1.25Y, valoarea lui Y este înlocuită și obținem:

  • X = 1,25Y
  • X = 1,25 * 312
  • <u>X = 390</u>
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Learn more here:

brainly.com/question/11293133

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