Find Two Numbers Whose Ratio is 7 : 10 and Difference is 105

❓ Question:

The ratio of two numbers is 𝟕 : 𝟏𝟎 and their difference is 𝟏𝟎𝟓.What are the two numbers?

This is a classic ratio and proportion question that strengthens your algebraic thinking.

🎥 Watch how to apply simple ratio techniques to find the original numbers.

The ratio of two numbers is 7 : 10 and their difference is 105. The numbers are ?

📘 Where This Concept Is Used:

🇮🇳 Indian Exams:

• CUET

• SSC CGL / CHSL / GD

• Bank Exams (IBPS PO, SBI Clerk)

• RRB NTPC & ALP

• CA Foundation

• CMA Foundation

• NDA, CDS

• Class 9–12 State & CBSE Maths

🌍 International Exams:

• SAT Math

• ACT Math

• GRE Quant

• GMAT Quant

• IGCSE / O-Level / IB Maths

• PISA and ATAR Maths in Australia

✅ Pro Tip:

Assume the numbers as 𝟕𝒙 and 𝟏𝟎𝒙. Subtract to get the difference and solve for 𝒙. Then substitute back to find both numbers.

🧪 Try Yourself:

The ratio of two numbers is 4 : 9 and their difference is 75. What are the numbers?