branimirthegreat0911
branimirthegreat0911 branimirthegreat0911
  • 19-02-2020
  • Mathematics
contestada

Together, two people earn $28,000. One earns$2,000 more than the other. How muchistheSmaller income?

Respuesta :

Hrishii
Hrishii Hrishii
  • 19-02-2020

Step-by-step explanation:

Let one person earns $ x

Therefore other earns = $(x + 2000)

According to the given condition:

[tex]x + (x + 2000) = 28000 \\ \\ \therefore \: x + x + 2000 = 28000 \\ \\ \therefore \: 2 x = 28000 - 2000\\ \\ \therefore \: 2 x = 26000\\\therefore \: x = \frac{26000}{2} \\ \\ \therefore \: x = 13000 \\ \implies \: x + 2000 \\ \: \: \: \: \: \: \: \: \: \: = 13000 + 2000 \\ \therefore \: x + 2000= 15000 \\ [/tex]

Hence, smaller income is $13000.

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