Ram is (6) years older than Shyam. After (4) years, the sum of their ages will be (50). What is Ram's present age?
Answer and explanation
Correct answer: 24 years
Let Ram’s and Shyam’s present ages be \(r\) and \(s\) years, respectively. From the first condition, \(r-s=6\). After four years, their total age will be \((r+4)+(s+4)=50\), giving \(r+s=42\). Adding the two equations, \(2r=48\), so \(r=24\) years. Therefore, option B is correct. Exam tip: in age-sum problems, add the elapsed years to both people’s ages before forming the equation.
Frequently asked questions
What is the correct answer to this question?
24 years
Why is this the correct answer?
Let Ram’s and Shyam’s present ages be \(r\) and \(s\) years, respectively. From the first condition, \(r-s=6\). After four years, their total age will be \((r+4)+(s+4)=50\), giving \(r+s=42\). Adding the two equations, \(2r=48\), so \(r=24\) years. Therefore, option B is correct. Exam tip: in age-sum problems, add the elapsed years to both people’s ages before forming the equation.
Which subject and chapter does this question cover?
This is a Class 10 Mathematics question. Chapter: Pair of Linear Equations in Two Variables. Topic: Algebraic methods: Substitution method and Elimination method..
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