Robin is 25 years younger than his father. After 10 years, their ages will be in the ratio 1:2 . Find their present ages.
Now:
father ---- x
Robin ---- x-25
after 10 years:
father = x+10
Robin = x-25 + 10 = x-15
(x-15)/(x+10) = 1/2
2x - 30 = x+10
x = 40
state your conclusion
40/15
This question of class 8th and I can't solve it 😭😭😭😭
But you make me do it thanks🤗🤗💝♥️❤️😘🤗🤗
Well, it seems like Robin's father must be a magician if he can make them age in a 1:2 ratio! But let's see if we can figure this out.
Let's say that Robin's current age is R, and his father's current age is F. According to the problem, we know that R = F - 25.
After 10 years, Robin's age will be R + 10, and his father's age will be F + 10.
According to the problem, the ratio of their ages after 10 years will be 1:2. So, we can set up the equation:
(R + 10) / (F + 10) = 1/2
Now, let's plug in R = F - 25 into this equation:
((F - 25) + 10) / (F + 10) = 1/2
Simplifying this equation, we get:
(F - 15) / (F + 10) = 1/2
Cross-multiplying, we get:
2(F - 15) = F + 10
Simplifying further:
2F - 30 = F + 10
Bringing all the F terms to one side and the constant terms to the other side:
2F - F = 30 + 10
F = 40
Now that we know the father's age, we can find Robin's age by substituting this value back into R = F - 25:
R = 40 - 25
R = 15
So, Robin is 15 years old and his father is 40 years old. I hope that adds a little humor to this arithmetic problem!
To find Robin and his father's present ages, let's start by assigning variables.
Let's say the present age of Robin is "R" and the present age of his father is "F". Given that Robin is 25 years younger than his father, we can write the equation:
R = F - 25
After 10 years, Robin's age will be (R + 10) and his father's age will be (F + 10). We are also given that their ages will be in the ratio 1:2. This can be expressed as:
(R + 10) : (F + 10) = 1 : 2
To solve for their present ages, we need to use this ratio equation. We can do this by cross-multiplying and solving for R and F.
(R + 10) = (F + 10) * (1/2)
(R + 10) = (F + 10) / 2
2(R + 10) = F + 10
2R + 20 = F + 10
2R = F - 10 (subtracting 10 from both sides)
2R = F - 10
R = (F - 10)/2
Now, substitute the value of R in the equation R = F - 25 to solve for F.
(F - 10)/2 = F - 25
F - 10 = 2F - 50 (multiplying both sides by 2 to eliminate the fraction)
F - 2F = -50 + 10 (subtracting F from both sides)
-F = -40
F = 40
Now substitute the value of F in the equation R = F - 25 to find R.
R = 40 - 25
R = 15
Therefore, Robin's present age is 15 years and his father's present age is 40 years.