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Shanti is 3 years older than Rani. Ten years ago, Shanti was twice as old as Rani. What is the present age of Shanti? Provide the answer with a solution.

User Kettly
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1 Answer

4 votes

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:

User Imer
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