Age Problems

Present-past-future age ratio problems solved with a clean linear-equation shortcut.

📖 ~4 min read 📐 RRB NTPC / Group D — Mathematics

Standard Setup

If present ages are in ratio a:b, let them be "ax" and "bx." Use the given condition (after n years, before n years) to form one equation in x, then solve.

💡 Example: Present ages of A and B are in ratio 3:4. After 5 years, ratio becomes 4:5. Let ages=3x,4x. (3x+5)/(4x+5)=4/5 → x=5. Ages: 15 and 20 years.

⚠️ Always add/subtract the SAME number of years to both people's ages when shifting to a past/future scenario.

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