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 =
(4 y + 20)**

**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

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