Two years ago, Ronald was 3 times older than Susie. In 6 years time, he will be twice as old as Susie. How old is Ronald now?
2 years ago:
Susie---- x
Ronald --3x
6 years from now:
Susie = x+8
Ronald = 3x + 8
3x+8 = 2(x+8)
x = 8
2 years ago, Ronald was 24
So now he is 26
check:
ages now:
Ronals --- 26
Susie ---- 10
6 years from now Ronald will be 32
Susie will be 16
Ronald is twice as old as Susie, my answer is correct
To: Reiny
How is that possible? How did you achieve x+8 and 3x+8?
so, it's a typo. Surely you can fix it and continue with the steps.
No typo, the solution is correct
first case was 2 years ago
2nd case is 6 years from now
what is the time difference?
Husnain, I even checked to show you that answer is correct.
To Reiny:
Thanks for the answer. I only asked you for my personal understanding and clarification. Thanks.
As usual, Maestro Reiny had the right of it.
To find out how old Ronald is now, let's break down the information given step by step.
Let's assume Ronald's current age is R, and Susie's current age is S.
1. Two years ago, Ronald was 3 times older than Susie. This can be expressed as:
(R - 2) = 3 * (S - 2)
2. In 6 years time, he will be twice as old as Susie. This can be expressed as:
(R + 6) = 2 * (S + 6)
Now, we can solve these equations to find the values of R and S.
From the first equation, we can simplify it to:
R - 2 = 3S - 6 → R = 3S - 4 → Equation 1
Substituting Equation 1 into the second equation, we get:
(3S - 4) + 6 = 2(S + 6)
Simplifying further:
3S + 2 = 2S + 12
S = 12 - 2
S = 10
Now we can find Ronald's age by substituting the value of S into Equation 1:
R = 3(10) - 4
R = 30 - 4
R = 26
Therefore, Ronald is currently 26 years old.