Solving simultaneous linear equations in Two Variables | Numerical Problems with Answers, Solution | Algebra | Maths - Exercise 3.14: Solve by any one of the methods | 9th Maths : UNIT 3 : Algebra
Chapter: 9th Maths : UNIT 3 : Algebra
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?
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