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?

Question

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?

anonymous · Answer

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.