madisonbyroads3712 madisonbyroads3712
  • 01-12-2020
  • Mathematics
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Tres numeros suman 10 000. La diferencia entre los dos numeros mas pequeños es de 1 250 y la diferencia entre los dos numeros mas grandes es de 4 200. ¿Cuales son los números?​

Respuesta :

fichoh
fichoh fichoh
  • 01-12-2020

Responder:

x = 1100

y = 2350

z = 6550

Explicación paso a paso:

Dejemos que los 3 números = x, y, z (dispuestos en orden ascendente)

Diferencia entre los dos más pequeños:

y - x = 1250

y - 1250 = x - - - (1)

Diferencia entre los dos más grandes:

z - y = 4200

z = 4200 + y - - - (2)

x + y + z = 10000 - - - (3)

Sustituya (1) y (2) en (3)

y - 1250 + y + 4200 + y = 10000

3 años + 2950 = 10000

3 años = 7050

y = 2350

x = 2350-1250

x = 1100

z = 4200 + 2350

z = 6550

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