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(Q)Â A cottage industry produces a certain number of pottery articles in a day. it was observed on a particular day that the cost of production of each article (in rupees) was 3 more than twice the number of articles produced on that day. If the total cost of production on that day was Rs. 90, […]
4.2.6. A cottage industry produces a certain number of pottery articles in a day. Read More »
(Q) The altitude of a right angle triangle is 7 cm less than its base, If the hypotenuse is 13 cm, find the other two sides. Ans:Â Let’s the height of the triangle be By given condition, it is 7 cm less than it base, or we can say that, its base is 7 cm
(Q) Find the two consecutive positive integers, sum of whose squares is 365. Ans:Â Let’s the 1st number be Next number has to be consecutive and hence next number will be It is given that sum of the squares of these two number is 365 Here, we reject x = – 14 because it is
4.2.4: Find the two consecutive positive integers, sum of whose squares is 365. Read More »
(Q) A takes 6 days less than the time taken by B to finish a piece of work. If both A and B together can finish it in 4 days, find the time taken by B to finish the work. Ans:Â Let’s assume B alone takes X days to finish the work. (Note: Here, we
(Q) A shopkeeper buys a number of books for Rs. 80. If he had bought 4 more for the same amount each book would have cost Rs. 1 less. How many books did he buy? Ans: Let the shopkeeper buy X number of books. By the given condition, cost of X books = Rs. 80
A shopkeeper buys a number of books for Rs. 80. If he had bought 4 more for the Read More »
Q) If the mth term of an AP is 1/n and the nth term is 1/m, then show that the sum of (mn)th term is (mn+1). Ans:Â Let first term of the given AP = a Common difference of the given AP = d Then, …………….(I) …………….(ii) Subtracting equation (ii) from equation (ii),we get Putting
Q) Solve the following pair of linear equations: Ans: Given the equations: ……….. (i) ………….(ii) Step 1: Let’s multiply equation (i) by b2 and add to equation (ii), we get: ……….. (i) ∴ ……….. (i) ∴ ……….. (i) ∴ b2 x + a2 x = a ( a2 + b2 ) ∴ x (a2 + b2
Solve the following pair of linear equations: x/a – y/b =0, a x + b y = a2 + b2 Read More »
Q) Solve the following pair of linear equations: (a – b) x + (a + b) y = a2 – 2 a b – b2 (a + b) (x + y) = a2Â + b2 Ans:Â Given the equations: (a – b) x + (a + b) y = a2 – 2 a b – b2……
Q) Solve the following pair of linear equations: 152x – 378y = – 74 – 378 x + 152y = – 604 Ans:Â Given the equations: Solve the following pair of linear equations: 152 x – 378 y = – 74 ….. (i) – 378 x + 152 y = – 604 ….. (ii) We
Solve the following pair of linear equations: 152x – 378y = -74, -378 x + 152y = -604 Read More »
Q) Solve the following pair of linear equations: ax + by = c bx + ay = 1 + c Ans: Given the equations: a x + b y = c ….. (i) b x + a y = 1 + c ….. (ii) Let’s multiply equation (i) with a and equation (ii) with b and we get:
Solve the following pair of linear equations: ax + by = c, bx + ay = 1 + c Read More »