Question

Express the following statements as a linear equation in two variables.

Answer 1

Answer:

(1) a + b = 34

(i) b = 1/2 f - 5

(m) B = 10 + 2S

(iv) 2p + 15b = 100

(v) Y + F = 200

(vi) yx + xy = 121

Step-by-step explanation:

* Lets explain how to solve the problem

(1)

∵ The sum of the two numbers is 34

- Let the first number is a and the second number is b

∴ a + b = 34

(i)

∵ The cost of a ball pen is 5 less than half the cost of a fountain pen

- That means the cost of the blue pen is less than the cost of the

 fountain pen

- Let the cost of the ball pen is b and the cost of the fountain pen is f

∴ b = 1/2 f - 5

(m)

∵ Bhargavi got 10 more marks than double the marks of Sindhu

- That means the marks of Bhargavi is greater than the marks of Sindhu

- Let the marks of Bhargavi is B and the marks of Sindhu is S

∴ B = 10 + 2S

(iv)

∵ The cost of a pencil is $2 and a ball point pen is $15

∵ Sheela pays 100  for the pencils and pens she purchased

- Let the number of the pencils she purchased is p and the number

 the ball point pen she purchased is b

∴ 2p + 15b = 100

(v)

∵ Yamini and Fatima together contributed 200 towards the Prime  

   Minister's Relief Fund

- Assume that Yamini contributed Y and Fatima contributed F

∴ Y + F = 200

(vi)

∵ The sum of a two digit number and the number obtained by

   reversing the order of its  digits is 121

∵ The digits in unit's and ten's place are 'x'and y'respectively

∴ The two digit number is yx and the number after reversing is xy

∴ yx + xy = 121