Write the following situations into algebraic expressions : (i) Cost

1.	Write the following situations into algebraic expressions : (i) Cost of one pen is double the cost of pencil.(ii) Age of John is 10 more than age of Yusuf.(iii) Height of Siri is 15 cm less than height of Giri.(iv) Length of a rectangle is 2 more than three times of it’s breadth.
Answer» (i) Let the cost of pencil = ₹x then the cost of pen = double the cost of pencil = 2 × ₹ x ∴ The cost of pen = ₹ 2x (ii) Let the age of Yusuf = a years then the age of John = (a + 10) years (iii) Let the height of Giri = x cm then the height of Siri = (x – 15) cm (iv) Let the breadth = b units then the length of rectangle = 3 times b + 2 = (3 ∙ b + 2) units.

Write the following situations into algebraic expressions : (i) Cost of one pen is double the cost of pencil.(ii) Age of John is 10 more than age of Yusuf.(iii) Height of Siri is 15 cm less than height of Giri.(iv) Length of a rectangle is 2 more than three times of it’s breadth.

Answer»

(i) Let the cost of pencil = ₹x

then the cost of pen = double the cost of pencil = 2 × ₹ x

∴ The cost of pen = ₹ 2x

(ii) Let the age of Yusuf = a years

then the age of John = (a + 10) years

(iii) Let the height of Giri = x cm

then the height of Siri = (x – 15) cm

(iv) Let the breadth = b units then the length of rectangle

= 3 times b + 2

= (3 ∙ b + 2) units.