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Let's say Jason's age is x, Omar's age is y and Henry's age is z. Then we have:

y = 3x (Omar is three times as old as Jason)

z = x + 5 (Henry is five years older than Jason)

x + y + z = 80 (Their total age is 80)

Now replace y and z in the last equation with the two other equations and you get:

x + 3x + (x + 5) = 80

Calculate brackets:

x + 3x + x + 5 = 80

Move 5 over and add up the x:

5x = 75

x = 75/5 = 15

So Jason is 15. Now we put x = 15 into the other equations and we get:

Omar's age: y = 3*15 = 45

Henry's age: z = 15 + 5 = 20

So Omar is 25 years older than Henry.

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โˆ™ 2010-05-11 14:09:05
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Q: Omar is 3 times as old as Jason Henry is 5 years older than Jason if their total age is 80 years old how much older is Omar than Henry?
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