Finding Ravi’s Age

Problem Statement Aman’s age is described as being 15 years more than three times Ravi’s age. We are given that Aman’s age is 60 years and are required to find Ravi’s age.

Mathematical Representation

Let Ravi’s age be denoted by $RR$R. According to the problem, Aman’s age can be expressed as:

$Aman’s Age=3\times Ravi’s Age+15\backslash text\{Aman’s\; Age\}\; =\; 3\; \backslash times\; \backslash text\{Ravi’s\; Age\}\; +\; 15$Aman’s Age=3×Ravi’s Age+15

Given that Aman’s age is 60 years, we can set up the equation as:

$60=3R+1560\; =\; 3R\; +\; 15$60=3R+15

Solving the Equation

1. Subtract 15 from both sides:

   $60-15=3R60\; –\; 15\; =\; 3R$60−15=3R

   $45=3R45\; =\; 3R$45=3R

2. Divide both sides by 3 to solve for $RR$R:

   $R=\frac{45}{3}R\; =\; \backslash frac\{45\}\{3\}$R=345​

   $R=15R\; =\; 15$R=15

Conclusion

Ravi’s age is 15 years.

Verification

To ensure the solution is correct, substitute Ravi’s age back into the original relationship:

• Three times Ravi’s age is $3\times 15=453\; \backslash times\; 15\; =\; 45$3×15=45.
• Adding 15 years: $45+15=6045\; +\; 15\; =\; 60$45+15=60, which matches Aman’s age.

Therefore, the calculation is verified to be correct. Ravi’s age is indeed 15 years.