Class 10 Maths Chapter 3 Exercise 3.2 Question 3 (vi) | Age Problem | NCERT Class 10 Solution

In this video, we have solved Exercise 3.2 Question 3 (Part vi) of Chapter 3 (Pair of Linear Equations in Two Variables) for CBSE and State Board Class 10 Maths in Hindi. Topic: Age Word Problem by Substitution Method (प्रतिस्थापन विधि) Question Covered: Five years hence, the age of Jacob will be three times that of his son. Five years ago, Jacob's age was seven times that of his son. What are their present ages? (5 वर्ष बाद जैकब की आयु उसके पुत्र की आयु से तीन गुनी हो जाएगी। 5 वर्ष पूर्व जैकब की आयु उसके पुत्र की आयु की सात गुनी थी। उनकी वर्तमान आयु क्या हैं?) Topics and Steps Explained: • Let Jacob's present age = x years • Let his son's present age = y years • Case 1: 5 years hence (5 वर्ष बाद) Jacob's age = (x + 5) Son's age = (y + 5) According to question: x + 5 = 3(y + 5) x + 5 = 3y + 15 x - 3y = 15 - 5 x - 3y = 10 ---(1) • Case 2: 5 years ago (5 वर्ष पूर्व) Jacob's age = (x - 5) Son's age = (y - 5) According to question: x - 5 = 7(y - 5) x - 5 = 7y - 35 x - 7y = -35 + 5 x - 7y = -30 ---(2) • Solving by Substitution Method: From equation (1): x = 10 + 3y ---(3) • Substituting value of x in equation (2): (10 + 3y) - 7y = -30 10 - 4y = -30 -4y = -30 - 10 -4y = -40 y = -40 / -4 y = 10 • Putting y = 10 in equation (3): x = 10 + 3(10) x = 10 + 30 x = 40 • Present age of Jacob (जैकब की वर्तमान आयु) = 40 years • Present age of son (पुत्र की वर्तमान आयु) = 10 years • Final Answer: Jacob's age = 40 years, Son's age = 10 years • Easy step-by-step handwriting method for CBSE and All State Boards ----------------------------------------------- Subscribe to The Maths Paper for complete Class 10 Maths NCERT solutions with easy handwriting step-by-step methods! Video pasand aaye toh Like aur apne dosto ke sath Share zaroor karein. ----------------------------------------------- #Class10Maths #LinearEquationsInTwoVariables #SubstitutionMethod #Class10MathsChapter3 #Exercise3_2 #NCERTClass10Maths #TheMathsPaper #CBSEClass10 #Class10BoardExam #AgeProblem #JacobAgeProblem #WordProblems