Two Numbers in 2∶3 Become 3∶5 After Subtracting 4 — Ratio Word Problem Solved

❓ Question:

Two numbers are in the ratio 𝟐∶𝟑. If 𝟒 is subtracted from each, they become in the ratio 𝟑∶𝟓. What are the numbers?

This is a typical ratio transformation question, where a constant is subtracted from both terms, altering the ratio. It checks both algebraic manipulation and understanding of proportional relationships.

🎥 Watch the complete walkthrough with tips to solve it under a minute!

Two numbers are in the ratio 2 : 3. If 4 be subtracted from each, they are in the ratio 3 : 5. The numbers are ?

📘 Where This Concept Is Used:

🇮🇳 Indian Exams:

• CUET (Quantitative Aptitude)

• SSC CGL, CHSL, MTS

• IBPS PO, Clerk, RRB

• NDA, CDS, AFCAT

• CMAT, SNAP

• CA Foundation, CSEET, CMA Foundation

• RRB NTPC, Group D

🌍 International Exams:

• SAT Math

• ACT Math

• GMAT Quant

• GRE Quant

• IGCSE Math

• IB Math AA & AI (SL/HL)

• ACCA, CPA Quant Foundation

✅ Pro Tip:

Let the numbers be 2x and 3x. Use the condition to form an equation:

(2x - 4)/(3x - 4) = 3/5, then cross-multiply and solve for x.

🧪 Try Yourself:

Two numbers are in the ratio 5∶7. If 6 is subtracted from both, they become 2∶3. What are the original numbers?