Solve the following equation and check your result: x 5 + 11 = 1 15

Given: x 5 + 11 = 1 15 ⇒ x + 11 × 5 5 = 1 15 ⇒ x + 55 5 = 1 15 ⇒ 15 x + 55 = 5 ⇒ 15 x + 15 × 55 = 5 ⇒ 15 x = 5 - 825 ⇒ 15 x = - 820 ⇒ x = - 820 15 ∴ x = - 164 3 Checking: Substitute x = - 164 3 in L.H.S: ⇒ 1 5 - 164 3 + 11 = - 164 15 + 11 = - 164 + 165 15 = 1 15 ∴ LHS = RHS Hence, verified.

Solve the following equation and check your result: 1 3 x - 1 2 = 4

Given: 1 3 x - 1 2 = 4 ⇒ x 3 - 1 2 = 4 ⇒ 2 x - 3 2 × 3 = 4 ⇒ 2 x - 3 6 = 4 ⇒ 2 x - 3 = 6 × 4 ⇒ 2 x - 3 = 24 ⇒ 2 x = 24 + 3 ⇒ 2 x = 27 ∴ x = 27 2 Checking: Substitute x = 27 2 in L.H.S: ⇒ 1 3 27 2 - 1 2 = 9 2 - 1 2 = 9 - 1 2 = 8 2 = 4 ∴ LHS = RHS Hence, verified.

Divide 34 into two parts in such a way that 4 7 th of one part is equal to 2 5 th of the other.

Let the first part be x . Then, the second part will be 34 - x ---- (1) According to the question, 4 7 x = 34 - x 2 5 ⇒ 4 x 7 = 34 × 2 5 - 2 x 5 ⇒ 4 x 7 + 2 x 5 = 68 5 ⇒ 20 x + 14 x 35 = 68 5 ⇒ 34 x 35 = 68 5 ⇒ x = 68 5 × 35 34 = 2 × 7 ⇒ x = 14 On substituting x in equation (1), we get Second part = 34 - 14 = 20 Hence, the two parts are 14 and 20 .

E M B I B E

All In One MATHEMATICS CBSE Class 8>Chapter 2 - Linear Equations in One Variable>Chapter Test>Q 10

MEDIUM

8th CBSE

IMPORTANT

Earn 100

Divide $₹ 1380$ among Atul, Ravi and Kishan, so that the amount Atul receives is $5$ times as much as Kishan's share and is $3$ times as much as Ravi's share.

Important Questions on Linear Equations in One Variable

MEDIUM

8th CBSE

IMPORTANT

All In One MATHEMATICS CBSE Class 8>Chapter 2 - Linear Equations in One Variable>Chapter Test>Q 11

The length of a rectangle exceeds its breadth by

18 cm

. If length and breadth are each increased by

6 cm

, then area of new rectangle will be

336 {cm}^{2}

more than that of the given rectangle. Find the length and breadth of the given rectangle.

MEDIUM

8th CBSE

IMPORTANT

All In One MATHEMATICS CBSE Class 8>Chapter 2 - Linear Equations in One Variable>Chapter Test>Q 12

Solve the following equation and check your result:
$\frac{x}{5} + 11 = \frac{1}{15}$

MEDIUM

8th CBSE

IMPORTANT

All In One MATHEMATICS CBSE Class 8>Chapter 2 - Linear Equations in One Variable>Chapter Test>Q 12

Solve the following equation and check your result:
$\frac{1}{3} x - \frac{1}{2} = 4$

EASY

8th CBSE

IMPORTANT

All In One MATHEMATICS CBSE Class 8>Chapter 2 - Linear Equations in One Variable>Chapter Test>Q 13

Solve the following equation $13 (y - 4) - 4 (y - 6) + 5 (y - 9) = 0$ .

MEDIUM

8th CBSE

IMPORTANT

All In One MATHEMATICS CBSE Class 8>Chapter 2 - Linear Equations in One Variable>Chapter Test>Q 14

Solve: $x - \frac{2 x + 8}{3} = \frac{1}{4} (x - \frac{2 - x}{6})$

MEDIUM

8th CBSE

IMPORTANT

All In One MATHEMATICS CBSE Class 8>Chapter 2 - Linear Equations in One Variable>Chapter Test>Q 15

Divide

34

into two parts in such a way that

{(\frac{4}{7})}^{th}

of one part is equal to

{(\frac{2}{5})}^{th}

of the other.

MEDIUM

8th CBSE

IMPORTANT

All In One MATHEMATICS CBSE Class 8>Chapter 2 - Linear Equations in One Variable>Chapter Test>Q 16

My age is four times the difference of my age after four years and three years before. If my present age is

x

years, then find the value of

x

.

MEDIUM

8th CBSE

IMPORTANT

All In One MATHEMATICS CBSE Class 8>Chapter 2 - Linear Equations in One Variable>Chapter Test>Q 17

Three prizes are to be distributed in a quiz contest. The value of the second prize is five-sixth the value of the first prize and the value of the third prize is four-fifth that of the second prize. If the total value of three prizes is $₹ 150$ , then find the value of each prize.