If you double President Carter's age at the time of his first inauguration and subtract his age at the time he died, the result is 22 years. How old was President Carter when he died?

Respuesta :

Answer:

82 years

Step-by-step explanation:

J. Carter age at first inauguration = 52 ---- (missing details)

Required

Determine his age when he died.

Represent his age when he died with x.

So, we have the following expression:

[tex]2 * Age\ at\ First\ Inauguration - x = 22[/tex]

[Substitute 52 for age at first inauguration]

[tex]2 * 52 - x = 22[/tex]

[Multiply 2 by 52]

[tex]104 - x = 22[/tex]

[Collect Like Terms]

[tex]-x = 22 - 104[/tex]

[Make x the subject]

[tex]x = 104 - 22[/tex]

[tex]x = 82[/tex]

Hence, he died at 82 years old.