Expression Ratio When 𝒙 : 𝒚 = 𝟑 : 𝟒 ｜ Algebraic Ratio Shortcut

Question:

If 𝒙 : 𝒚 = 𝟑 : 𝟒, what is the value of the ratio:𝒙²𝒚 + 𝒙𝒚² : 𝒙³ + 𝒚³ ？

📹 Watch the step-by-step solution in the video below:🎥

https://www.youtube.com/watch?v=hiv4DHIiuA8

If x : y = 3 : 4, the value of x^2y + xy^2 : x^3 + y^3 is ?

🎯 Relevant Exams

✅ Indian Exams:

• CA Foundation

• CUET (Quantitative Aptitude)

• CSEET

• CMA Foundation

• SSC CGL, CHSL

• RRB NTPC

• Banking (IBPS, SBI PO/Clerk, RBI Assistant)

• State PSC aptitude papers

🌍 International Exams:

• SAT Math

• ACT Math

• GRE Quant

• GMAT Quant

• IGCSE / GCSE Math

• Foundation-level Math Olympiads

💡 Quick Tip:

When 𝒙 : 𝒚 = 𝟑 : 𝟒, let 𝒙 = 𝟑 and 𝒚 = 𝟒 to quickly evaluate expressions. No need to use complex algebra unless required.

🧪 Try Yourself:

If 𝒙 : 𝒚 = 𝟐 : 𝟓, find the value of 𝒙²𝒚 + 𝒙𝒚² : 𝒙³ + 𝒚³

Comment your answer below!