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Domestic gas cylinders like Indane contain mainly butane.

Let the numbers of winner be x. Then, the number of participants who didn’t win = 63 – x Total money given to the winner = x × 100 = 100x Tot...

Let the number of ₹5 coins be x. Then, number ₹2 coins = 3x and, number of ₹1 coins = (160 – 4x) Value of ₹5 coins = x × 5 = 5x Value of ₹2 ...

Let the numbers of notes of ₹100, ₹50 and ₹10 be 2x, 3x and 5x respectively. Value of ₹100 = 2x × 100 = 200x Value of ₹50 = 3x × 50 = 150x Value...

Let the rational be x. According to the question, x × (5/2) + 2/3 = -7/12 ⇒ 5x/2 + 2/3 = -7/12 ⇒ 5x/2 = -7/12 – 2/3 ⇒ 5x/2 = (-7- 8)/12 ⇒ ...

Let the present age of Ravi be x. Fifteen years later, Ravi age will be x + 15 years. According to the question, x + 15 = 4x ⇒ 4x – x = 15 ...

Let the age of Baichung’s father be x. Then, the age of Baichung’s grandfather = (x + 26) and, Age of Baichung = (x - 29) According to the ques...

Let the number of boys be 7x and girls be 5x. According to the question, 7x = 5x + 8 ⇒ 7x – 5x = 8 ⇒ 2x = 8 ⇒ x = ⇒ x = 4 Therefore, Nu...

Let the ages of Rahul and Haroon be 5x and 7x. Four years later, The ages of Rahul and Haroon will be (5x + 4) and (7x + 4) respectively. Accordi...

Let the three consecutive integers are x, x+1 and x+2. According to the question, 2x + 3(x+1) + 4(x+2) = 74 ⇒ 2x + 3x +3 + 4x + 8 = 74 ⇒ 9x +...

Let the three consecutive multiples of 8 be 8x, 8(x+1) and 8(x+2). According to the question, 8x + 8(x+1) + 8(x+2) = 888 ⇒ 8 (x + x+1 + x+2) = ...

Let the three consecutive integers be x, x+1 and x+2. According to the question, x + (x+1) + (x+2) = 51 ⇒ 3x + 3 = 51 ⇒ 3x = 51 – 3 ⇒ 3x = ...

Let the two numbers be 5x and 3x. According to the question, 5x – 3x = 18 ⇒ 2x = 18 ⇒ x = ⇒ x = 9 The numbers are 5x = 5 × 9 = 45 A...

Let one of the numbers be = x. Then, the other number becomes x + 15 According to the question, x + x + 15 = 95 ⇒ 2x + 15 = 95 ⇒ 2x = 95 – ...

Base of isosceles triangle = 4/3 cm Perimeter of triangle =4image cm = Let the length of equal sides of triangle be x. According to the questio...

Perimeter of rectangular swimming pool = 154 m Let the breadth of rectangle be = x According to the question, Length of the rectangle = 2x + 2 ...

Let the number be x. According to the question, (x – 1/2) × 1/2 = 1/8 x/2 – 1/4 = 1/8 x/2 = 1/8 + 1/4 x/2 = 1/8 + 2/8 x/2 = (1+ 2)/8 x/2...

1. 7x – 9 = 16 7x – 9 = 16 7x = 16+9 7x = 25 x = 25/7 2. 14y – 8 = 13 14y – 8 = 13 14y = 13+8 14y = 21 y = 21/14 y = 3/2 3. 17 +...

(i) Electric current drawn We have, W = 1500, Voltage v = 250 Current, I = = = 6 amperes. (ii) Energy consumed, E = Power x time = 15...

1. 3/7 + x = 17/7 3/7 + x = 17/7 x = 17/7 – 3/7 x = 14/7 x = 2 2. 6x = 12 6x = 12 x = 12/6 x = 2 3. t/5 = 10 t/5 = 10 t = 10 × 5...