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Jason is 10 years older than Alex. Mark is 11 years younger than Alex. If the total of their ages is 68, how old is the youngest of them?

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Answer:

Mark is 12 years old.

Explanation:

Let's just define some variables:

J = Jason

A = Alex

M = Mark

Next, let's put the information given in the question into equations.

Since Jason is 10 years older than Alex we can represent it like this:

J = A + 10

Since Mark is 11 years younger than Alex we can represent it like this:

M = A - 11

All of their ages add up to 68 so we can represent that like this:

J + A + M = 68

We can now do some substitutions to the J and M in this equation, like this:

(A + 10) + A + (A - 11) = 68

Combine like terms:

3A - 1 = 68

Solve for A

3A = 69

A = 23

Now that we found that Alex is 23 we can plug that back in to the first equations to find their ages:

J = 23 + 10

J = 33

M = 23 - 11

M = 12

Mark is the youngest out of the siblings being 12 years old.

Check:

23 + 33 + 12 = 68

68 = 68 :)

I hope this helps!!

- Kay :)

User Shikloshi
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