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Five years ago, Ravi was thrice as old as Shashi. Ten years later Ravi will be twice as old as Shashi. What is the age of Shashi?
- a)20 years
- b)30 years
- c)35 years
- d)50 years
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
Five years ago, Ravi was thrice as old as Shashi. Ten years later Ravi...
Let's solve this problem step by step:
Step 1: Translate the problem into equations
Let's assume Ravi's current age is 'R' and Shashi's current age is 'S'.
According to the problem, five years ago, Ravi was thrice as old as Shashi. This can be translated into the equation:
R - 5 = 3(S - 5)
Similarly, ten years later, Ravi will be twice as old as Shashi. This can be translated into the equation:
R + 10 = 2(S + 10)
Step 2: Simplify and solve the equations
Let's simplify and solve the equations one by one:
Equation 1: R - 5 = 3(S - 5)
On simplifying, we get:
R - 5 = 3S - 15
R = 3S - 10
Equation 2: R + 10 = 2(S + 10)
On simplifying, we get:
R + 10 = 2S + 20
R = 2S + 10
Step 3: Equate the two expressions for Ravi's age
Since both expressions represent Ravi's age, we can equate them:
3S - 10 = 2S + 10
On simplifying, we get:
S = 20
Step 4: Determine Shashi's age
From the equation above, we found that Shashi's current age is 20 years (option A).
Step 5: Verify the solution
To verify the solution, let's substitute S = 20 into the original equations:
Five years ago, Ravi's age was 3 times Shashi's age:
R - 5 = 3(S - 5)
R - 5 = 3(20 - 5)
R - 5 = 3(15)
R - 5 = 45
R = 50
Ten years later, Ravi's age will be twice Shashi's age:
R + 10 = 2(S + 10)
50 + 10 = 2(20 + 10)
60 = 2(30)
60 = 60
Both equations hold true, confirming that Shashi's age is indeed 20 years.
Step 1: Translate the problem into equations
Let's assume Ravi's current age is 'R' and Shashi's current age is 'S'.
According to the problem, five years ago, Ravi was thrice as old as Shashi. This can be translated into the equation:
R - 5 = 3(S - 5)
Similarly, ten years later, Ravi will be twice as old as Shashi. This can be translated into the equation:
R + 10 = 2(S + 10)
Step 2: Simplify and solve the equations
Let's simplify and solve the equations one by one:
Equation 1: R - 5 = 3(S - 5)
On simplifying, we get:
R - 5 = 3S - 15
R = 3S - 10
Equation 2: R + 10 = 2(S + 10)
On simplifying, we get:
R + 10 = 2S + 20
R = 2S + 10
Step 3: Equate the two expressions for Ravi's age
Since both expressions represent Ravi's age, we can equate them:
3S - 10 = 2S + 10
On simplifying, we get:
S = 20
Step 4: Determine Shashi's age
From the equation above, we found that Shashi's current age is 20 years (option A).
Step 5: Verify the solution
To verify the solution, let's substitute S = 20 into the original equations:
Five years ago, Ravi's age was 3 times Shashi's age:
R - 5 = 3(S - 5)
R - 5 = 3(20 - 5)
R - 5 = 3(15)
R - 5 = 45
R = 50
Ten years later, Ravi's age will be twice Shashi's age:
R + 10 = 2(S + 10)
50 + 10 = 2(20 + 10)
60 = 2(30)
60 = 60
Both equations hold true, confirming that Shashi's age is indeed 20 years.
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Community Answer
Five years ago, Ravi was thrice as old as Shashi. Ten years later Ravi...
Let Shashi’s present age be x and Ravi’s present age be y.
y - 5 = 3 (x - 5) ⇒ 3x - y = 10 ...(1)
y + 10 = 2 (x + 10) ⇒ 2x - y = 10 ...(2)
Solving eqns (1) and (2), we get
x = 20, y = 50
y - 5 = 3 (x - 5) ⇒ 3x - y = 10 ...(1)
y + 10 = 2 (x + 10) ⇒ 2x - y = 10 ...(2)
Solving eqns (1) and (2), we get
x = 20, y = 50
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Five years ago, Ravi was thrice as old as Shashi. Ten years later Ravi will be twice as old as Shashi. What is the age of Shashi?a)20 yearsb)30 yearsc)35 yearsd)50 yearsCorrect answer is option 'A'. Can you explain this answer?
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