Jamal is 22 years older than Autumn. In 4 years, the sum of their ages will be 72. How old are they now?

Jamal is
years old, and Autumn is
years old.

Respuesta :

Lets say that Autumn's current age is: [tex]\boxed{x}[/tex]

That means Jamal's age = [tex]\boxed{x+22}[/tex]

In 4 years:

Autumn's age is:  [tex]\boxed{x+4}[/tex]

Jamal's age is:     [tex]x+22+4=\boxed{x+26}[/tex]

(you add 4 because in 4 years, they will be four years older)

Now that we've worked out their ages in 4 years, we can form an equation, and solve. Because their ages now add up to be equal to 72:

[tex](x+4)+(x+26)=72[/tex]

[tex]2x+30=72[/tex]

[tex]2x=42[/tex]

[tex]\boxed{x=21}[/tex]

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So Autumns age is: 21   and

Jamal's age is: 21 + 22 = 43

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Answer:

Autumn = 21 years old

Jamal = 43 years old

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If you have any questions, don't hesitate to ask

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