Middle School

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Max and his friend Zeke are comparing their ages. They figure out that if they double Max's age from 3 years ago and add it to Zeke's current age, the sum is 26. If Zeke is currently 8 years old, determine how old Max currently is.

Answer :

Answer:

12 years

Step-by-step explanation:

We have to find the currently age of Max.

Let x be the current age of Max and y be the current age of Zeke.

According to question

[tex]2(x-3)+y=26[/tex]

Current age of Zeke=8 years old

Then substitute the value

[tex]2x-6+8=26[/tex]

[tex]2x+2=26[/tex]

[tex]2x=26-2=24[/tex]

[tex]x=\frac{24}{2}=12[/tex]

Hence, the current age of Max=12 years old

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Rewritten by : Barada

Let m be max's age
Let z be zekes age
2m+z=26
Sub in zekes age
2m+8=26
2m=26-8
2m=18
M=18/2
M=9
Remember: this is Max's age THREE YEARS AGO. Therefore, add three to get his current age
9+3=12
Therefore, Max is currently 12
Hope this helps!