SOLUTION: kris is 4 years younger than mario.three years from now, She will be two thirds as old as Mario.what is the age of Mario

Question 1135159: kris is 4 years younger than mario.three years from now, She will be two thirds as old as Mario.what is the age of Mario
Found 3 solutions by mathsolverplus, josgarithmetic, greenestamps:
Answer by mathsolverplus(88)   (Show Source): You can put this solution on YOUR website!
Current age of Kris = x
Current age of Mario = x+4

Three years from now,
Age of Kris = x+3
Age of Mario = x+4+3 = x+7
"She will be two thirds as old as Mario" means that:

Current age of Mario: x+4=5+4=9
Mario is 9 years old right now.

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Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
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Kris is 4 years younger than Mario. Three years from now, She will be two thirds as old as Mario. What is the age of Mario?
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Ages m-4 and m.
m for Mario.

.
.
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!

With algebra, define a variable and write an equation using that variable and the information given in the problem, then solve the equation.

Often, especially for students just learning algebra, the best choice for the variable is the number the question asks for.

In this problem, you are to find Mario's current age. So

let x = Mario's age now

Use that variable and the given information to find expressions for the other numbers in the problem -- Kris's current age, and both of their ages 3 years from now.

then x-4 = Kris's current age
x+3 = Mario's age 3 years from now
(x-4)+3 = x-1 = Kris's age 3 years from now

Now write and solve the equation that says Kris's age 3 years from now will be 2/3 of Mario's age then:

The easiest first step for most students is to multiply by 3 to get rid of the fractions....

After that it is basic algebra to the answer. I will assume you know enough basic algebra to finish from there.

But the important part of the problem for a beginning algebra student is to understand how to get from the statement of the problem to an equation that can be solved.

I always try to encourage students to think about how the problem could be solved without the formal algebra -- it's good brain exercise.

Here is how you might do that.

(1) The difference in their ages is 4 years.
(2) When Kris is 2/3 of Mario's age, the difference in their ages will be 1/3 of Mario's age. (Mario's age, minus 2/3 of Mario's age, equals 1/3 of Mario's age)
(3) So the 4 year difference in their ages will be 1/3 of Mario's age when Mario is 4*3=12.
(4) It is in 3 years from now that Kris will be 2/3 of Mario's age; since that will be when Mario is 12, Mario is now 9.

CHECK:
Mario is 9, so Kris is 9-4=5.
In 3 years, Mario will be 12 and Kris will be 8 -- and 8 is 2/3 of 12
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