Answer:
Let's use algebra to solve this problem.
Let S represent Shanti's current age, and let R represent Rani's current age.
According to the information given in the problem, we have two pieces of information:
Shanti is 3 years older than Rani, so we can write the equation: S = R + 3.
Ten years ago, Shanti was twice as old as Rani. So, we need to consider their ages ten years ago: S - 10 = 2(R - 10).
Now, we have a system of two equations with two variables:
S = R + 3
S - 10 = 2(R - 10)
We can use these equations to solve for their current ages. Let's start by substituting the expression for S from the first equation into the second equation:
(R + 3) - 10 = 2(R - 10)
Now, simplify the equation:
R - 7 = 2R - 20
Next, subtract R from both sides of the equation:
-7 = R - 20
Now, add 20 to both sides of the equation to isolate R:
R = 20 - 7
R = 13
So, Rani's current age is 13 years.
Now that we know Rani's age, we can find Shanti's age using the first equation:
S = R + 3
S = 13 + 3
S = 16
So, Shanti's current age is 16 years.
Therefore, Shanti is currently 16 years old.
Step-by-step explanation: