Ex. 13.5 Q1-Q2 Class 9 | Ch-13 Two Variables One Line | 9th Maths Ganita Manjari Ch-13

Complete solutions for Ex. 13.5 (Part 1) of Class 9 Maths Ganita Manjari Chapter 13 — Two Variables One Line. This lecture dives deep into solving pairs of linear equations in two variables using the Substitution and Elimination methods. It includes comprehensive step-by-step solutions for word problems involving numbers, fractions, ages, taxi charges, bank notes, and library fees. We also cover solving equations using the Graphical Method. New NCERT 2026-27 syllabus. 📌 TELEGRAM (NOTES & UPDATES): https://t.me/+cbiN5dwvTSNkZTg1 📲 WHATSAPP CHANNEL (DAILY MCQ): https://whatsapp.com/channel/0029VbDQ... 🎬 YOUTUBE CHANNEL (FULL LECTURES):    / @sanyambhayana-9th10th   📱 INSTAGRAM:   / sanyambhayanaclass9and10   ✅ TOPICS & QUESTIONS COVERED IN THIS LECTURE: Key Concept Taught: Solving pairs of linear equations using Substitution, Elimination, and Graphical methods. Q1 (i). Sum and difference of two integers. Q1 (ii). One number is three times the other. Q1 (iii). Cost of bats and balls (using the Elimination Method). Q1 (iv). Fixed and variable taxi charges per kilometer. Q1 (v & vi). Fraction word problems (numerator and denominator). Q1 (vii). Age word problem (Nuri and Sonu). Q1 (viii). Reversing the digits of a two-digit number. Q1 (ix). Currency notes denomination problem (₹50 and ₹100 notes). Q1 (x). Fixed and additional daily charges for a lending library. Q2. Graphical method: 10 students taking part in a math quiz. 📚 This lecture is useful for Class 9 students of CBSE, ICSE, UP Board, Bihar Board, MP Board, Haryana Board, Punjab Board, and all other state boards following the Ganita Manjari / NCERT syllabus for Session 2026-27. 👨‍🏫 ABOUT THE TEACHER: Sanyam Bhayana is a Class 12 State Topper (99.8%) and Gold Medalist from Shri Ram College of Commerce (SRCC), New Delhi. He has helped hundreds of students score 100/100 in board exams. ⏱ CHAPTERS: 0:00 Introduction 1:05 Q1 (i) — Sum and Difference of Integers 4:34 Q1 (ii) — Difference of Two Numbers 8:08 Q1 (iii) — Cost of Bats and Balls 13:36 Q1 (iv) — Taxi Charges Word Problem 17:39 Q1 (v) & (vi) — Fraction Word Problems 25:12 Q1 (vii) — Ages Word Problem (Nuri and Sonu) 29:50 Q1 (viii) — Two-Digit Number Word Problem 34:02 Q1 (ix) — Bank Notes Word Problem 36:55 Q1 (x) — Library Charges Word Problem 39:16 Q2 — Graphical Method (Math Quiz) 43:37 Conclusion 💬 Got a doubt? Drop it in the comments — Sanyam Sir answers personally. 📂 CLASS 9 MATHS COMPLETE NCERT PLAYLIST: Class 9 Maths Ganita Manjari:    • CLASS 10 MATHS FULL COURSE (2026-2027)   Ex. 13.5 of Class 9 Maths Ganita Manjari Chapter 13 — Two Variables One Line. This detailed exercise teaches you how to translate complex real-world situations into linear equations and solve them efficiently. Essential for CBSE, UP Board, Haryana Board, and all state boards using the new NCERT 2026-27 textbook. Your Queries: Ex 13.5 Class 9 Maths Two Variables One Line, Ganita Manjari chapter 13 exercise 13.5, Two Variables One Line class 9, elimination method class 9, substitution method, pair of linear equations word problems, class 9 maths chapter 13 solutions, Ganita Manjari class 9 new NCERT 2026-27, class 9 maths CBSE 2026, class 9 maths in English, Sanyam Bhayana