Question

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

Answer 1

Explanation:

Let one person earns $ x

Therefore other earns = $(x + 2000)

According to the given condition:

`x + (x + 2000) = 28000 \\ \\ \therefore \: x + x + 2000 = 28000 \\ \\ \therefore \: 2 x = 28000 - 2000\\ \\ \therefore \: 2 x = 26000\\\therefore \: x = (26000)/(2) \\ \\ \therefore \: x = 13000 \\ \implies \: x + 2000 \\ \: \: \: \: \: \: \: \: \: \: = 13000 + 2000 \\ \therefore \: x + 2000= 15000 \\`

Hence, smaller income is $13000.