Another neighbor said, “My age is the difference between twice my age in 5 years and and twice my age 5 years ago.” How old is this neighbor? A third neighbor had the same claim for 17 years from now and 17 years ago. How old is this neighbor?

The neighbor is 20 years old.

The third neighbor is 68 years old.

Step-by-step explanation:

Equations

Let's set:

x=current age of the neighbor

x+5=his age in 5 years

x-5=his age 5 years ago

He claims that his age is the difference between twice his age in 5 years and twice his age 5 years ago. Then:

x = 2( x + 5 ) - 2( x - 5 )

Operating:

x = 2x + 10 - 2x +10

Simplifying:

x = 20

The neighbor is 20 years old.

Repeating for the other neighbor, a similar equation is established:

x = 2( x + 17 ) - 2( x - 17 )

Operating:

x = 2x + 34 - 2x +34

Simplifying:

x = 68

The third neighbor is 68 years old.

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step-by-step explanation: