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# Exercise 3.14: Solve by any one of the methods

Maths : Algebra: Book Back, Exercise, Example Numerical Question with Answers, Solution : Exercise 3.14: Solve by any one of the methods

Exercise 3.14

Solve by any one of the methods

1. The sum of a two digit number and the number formed by interchanging the digits is 110. If 10 is subtracted from the first number, the new number is 4 more than 5 times the sums of the digits of the first number. Find the first number. 2. The sum of the numerator and denominator of a fraction is 12. If the denominator is increased by 3, the fraction becomes 1/2. Find the fraction. 3. ABCD is a cyclic quadrilateral such that A = (4y + 20)º , B = (3y –5)º , C =(4x) º and D = (7x + 5) º . Find the four angles. 4. On selling a T.V. at 5% gain and a fridge at 10% gain, a shopkeeper gains ₹2000. But if he sells the T.V. at 10% gain and the fridge at 5% loss, he gains Rs.1500 on the transaction. Find the actual price of the T.V. and the fridge. 5. Two numbers are in the ratio 5 : 6. If 8 is subtracted from each of the numbers, the ratio becomes 4 : 5. Find the numbers. 6. 4 Indians and 4 Chinese can do a piece of work in 3 days. While 2 Indians and 5 Chinese can finish it in 4 days. How long would it take for 1 Indian to do it? How long would it take for 1 Chinese to do it? Tags : Solving simultaneous linear equations in Two Variables | Numerical Problems with Answers, Solution | Algebra | Maths , 9th Maths : UNIT 3 : Algebra
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9th Maths : UNIT 3 : Algebra : Exercise 3.14: Solve by any one of the methods | Solving simultaneous linear equations in Two Variables | Numerical Problems with Answers, Solution | Algebra | Maths