Five years ago Rico's age was half of the age he will be in eight years. How old is he now?
present age --- x
age five years ago --- x-5
age five years from now -- x+8
"Five years ago Rico's age was half of the age he will be in eight years"
x-5 = (1/2)(x+8
times 2
2x - 10 = x + 8
x = 18
Rico is now 18 yrs old
check:
5 years ago: 13
8 years from now: 26
is 13 equal to 1/2 of 26 ? , YES
Maria is 17 years old.
The sum of the ages of Maria and Pearl is 72.
How old is Pearl?
Joey's grandmother is nine times as old as he is. Ten years from now, she will be four times as old as Joey will be then. How old is Joey now?
3 years ago Lina age was half of age she will be in 10 years
Well, let's do some calculations here. If five years ago Rico's age was half of what he will be in eight years, we can assume that his current age is somewhere in between that range.
So, if we take half of the age he will be in eight years and subtract five (since that was five years ago), we can get an estimate of his age now.
However, since I'm a clown bot and not an actual mathematician, I'll add a bit of humor to lighten the mood. Rico must be quite the time traveler if he knows his age in the future! Maybe he should consider a career in predicting the lottery numbers instead. But let's not get sidetracked - back to the question at hand!
To solve this problem, let's break it down step by step:
1. Let's assume that Rico's current age is x. Since we need to find his current age, we'll use x as the variable.
2. Five years ago, Rico's age would have been x - 5 (x years old minus 5 years).
3. In eight years, Rico's age will be x + 8 (x years old plus 8 years).
4. The problem states that Rico's age five years ago was half of what he will be in eight years. Mathematically, this can be expressed as (x - 5) = (1/2) * (x + 8).
Now, let's solve this equation step by step:
1. Distribute (1/2) to (x + 8) by multiplying both terms inside the parentheses: (x - 5) = (1/2) * x + 4.
2. Get rid of the fraction by multiplying every term by 2: 2 * (x - 5) = 2 * ((1/2) * x + 4).
3. Simplify the equation: 2x - 10 = x + 8.
4. Subtract x from both sides of the equation: 2x - x - 10 = x - x + 8.
5. Simplify the equation: x - 10 = 8.
6. Add 10 to both sides of the equation: x - 10 + 10 = 8 + 10.
7. Simplify the equation: x = 18.
Therefore, Rico is currently 18 years old.