If 𝐚∶𝐛 = 𝟑∶𝟒, Find (𝟐𝐚+𝟑𝐛)∶(𝟑𝐚+𝟒𝐛) | Smart Ratio Tricks for CUET, SSC, SAT & GMAT

❓ Question:

If 𝐚∶𝐛 = 𝟑∶𝟒, what is the value of (𝟐𝐚+𝟑𝐛)∶(𝟑𝐚+𝟒𝐛)?

This question requires you to use algebraic substitution with known ratios — a standard trick in quantitative aptitude sections across many exams.

🎥Watch the full solution explained with shortcut techniques to save time during exams.

If a : b = 3 : 4, the value of (2a+3b) : (3a+4b) is ?

📘 Where This Concept Is Used:

🇮🇳 Indian Exams:

• CUET (Quantitative Aptitude)

• SSC CGL, CHSL, MTS

• CA Foundation, CSEET

• CMA Foundation

• IBPS, SBI, RBI, RRB Exams

• CMAT, SNAP, XAT

• NDA, CDS, AFCAT

🌍 International Exams:

• SAT Math

• ACT Math

• GMAT Quant

• GRE Quantitative Reasoning

• IGCSE Math (Extended)

• IB Math (AI & AA HL/SL)

• CPA Foundation Quant

✅ Pro Tip:

Replace a and b with simple values maintaining the ratio (e.g., a = 3k, b = 4k). Substitution makes complex expressions easy to simplify.

🧪 Try Yourself:

If a : b = 5 : 2, find the value of (4a + b) : (3a + 2b).

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