Arnold is 10 yeras older than his brother richard. In 10 years richard will be 3/4as old aas arnold. how old is ecah one?
Richards current age : x
Arnold's current age : x+10
Richards age 10 years from now : x+10
Arnold's age 10 years from now: x+20
x+10 = 3/4(x+20)
solve for x
x+10 = 0.75 (x+20)
x+10 = 0.75x+15
0.25x+10 = 15
0.25x = 5
x = 20
"x" = 20
"x+10" = 30
To find out the ages of Arnold and Richard, let's break down the information given step by step.
1. Let's assume Richard's current age is "x" years.
2. According to the information, Arnold is 10 years older than Richard. So, Arnold's current age is "x + 10" years.
Now, let's look at the second part of the information:
3. In 10 years, Richard will be "x + 10" years + 10 years = "x + 20" years old.
4. In 10 years, Arnold will be "x + 10" years + 10 years = "x + 20" years old as well.
5. It is given that in 10 years, Richard will be 3/4 as old as Arnold. So we can set up the equation: "x + 20" = (3/4)("x + 20").
Now, let's solve the equation step by step:
6. Distribute the fraction: "x + 20" = (3/4)("x") + (3/4)(20).
7. Simplify: "x + 20" = (3/4)("x") + 15.
8. Multiply through by 4 to get rid of the fraction: 4("x + 20") = 3("x") + 60.
9. Simplify: 4x + 80 = 3x + 60.
10. Move all the "x" terms to one side and the constants to the other side: 4x - 3x = 60 - 80.
11. Simplify: x = -20.
It seems we have arrived at a problem since a negative age is not possible. Let's reconsider the problem and see if we've missed anything.
It's possible that there was a mistake in the statement of the problem, or there may be missing information. Double-check the given information and ensure all the details are accurate.