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:

Let x be the present age ( in years ) of Max and y be the present age ( in years ) of Zeke,

Max's age 3 years ago = x - 3

According to the question,

2 ( x - 3 ) + y = 26 -----(1)

Also, if Zeke's present age is 8 years,

That is y = 8,

From equation (1),

2x - 6 + 8 = 26

2x + 2 = 26

2x = 24

x = 12

Hence, Max is 12 years old currently.

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Rewritten by : Barada

The first step of solving this problem is to find your x, which is the unknown number. The unknown number is the age of Max. Once you find the x you can write out your equation.

The equation for this problem is:

2x+8=26

the first step is to subtract 8 from both sides so that all you have on the left side is 2x and your equation will look like ths:

2x=18

after subtracting the 8; divide everything by the coefficient of x which is 2, your result is:

x=9

Max is 9 years old.