Alex was visiting his Uncle Joe for Summer break. Combined, they are 65 years old. Uncle Joe is four times as old as Alex is. How old are Alex and Uncle Joe?

Respuesta :

Answer:

65 years old.

Step-by-step explanation:

Set up variables first:

[tex]U = 4A\\A = A\\U+ A = 65[/tex]

U is the Uncle, A is Alex.

Substitiute U for the last equation.

[tex]4A + A = 65[/tex]

Solve:

[tex]5A = 65\\A = 13[/tex]

This means that Alex is 13 years old.

This also means that the Uncle is 52 years old.

Together they are 65 years old.

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