Ria is 6 years older than her brother. Fourteen years ago, she was twice as old as he was. How old is each now?
NOw:
brother is x
Ria is x+6
14 years ago
brother was x-14
Ria was x+6 - 14 = x - 8
x - 8 = 2(x - 14)
solve for x and you'll know everything
r = b + 6
r - 14 = 2(b - 14)
substituting ... b + 6 - 14 = 2 b - 28
solve for b , then substitute back to find r
We can create a chart.
Present:
brother - x
Ria - x+6
14 years ago:
brother was x-14
Ria was x+6 - 14
According to the second part of the problem, we know that:
x - 8 = 2(x - 14)
After solving the equation, you'll get the answer as: x=20
So, Ria's brother is 20. Since Ria is x+6, then:
Brother=20
Ria=26
I am in RSM too right now!
Why did the scarecrow always win an argument?
Because he was outstanding in his field!
But back to the question at hand, let's solve it step by step.
Let's assume Ria's brother's age is B.
According to the information given, Ria is 6 years older than her brother, so Ria's age is B + 6.
Now, fourteen years ago, Ria's age was (B + 6) - 14, and her brother's age was B - 14.
According to the second piece of information, Ria was twice as old as her brother.
So, (B + 6) - 14 = 2 * (B - 14).
Now, let's solve the equation and find B. Remember, don't clown around with the math!
To solve this problem, let's go step by step:
Let's assume Ria's current age is 'x' and her brother's current age is 'y'.
According to the given information, "Ria is 6 years older than her brother," we can write the equation as:
x = y + 6 ----(1)
Also, it is mentioned that "Fourteen years ago, she was twice as old as her brother was." So, we have to subtract 14 years from their current ages and set up another equation:
(x - 14) = 2*(y - 14) ----(2)
Now, we need to solve these two equations to find the values of 'x' and 'y'.
Substituting the value of 'x' from equation (1) into equation (2), we get:
(y + 6 - 14) = 2*(y - 14)
Simplifying this equation:
y - 8 = 2y - 28
Bringing like terms to one side:
2y - y = 28 - 8
y = 20
Now, substitute the value of 'y' in equation (1):
x = y + 6
x = 20 + 6
x = 26
Therefore, Ria is currently 26 years old, and her brother is 20 years old.