###### Advertisements

###### Advertisements

Solve: `("x" + 2)/6 - ((11 - "x")/3 - 1/4) = (3"x" - 4)/12`

###### Advertisements

#### Solution

`"x" + 2/6 - 11 - "x"/3 - 1/4 = 3"x" - 4/12`

`=> ("x" + 2)/6 - (4(11 - x) - 1 xx 3)/12 = (3"x" - 4)/12`

`=> ("x" + 2)/6 - (44 + 4x + 3)/12 = (3"x" - 4)/12`

`=> (2("x" + 2) - 41 + 4"x")/12 = (3"x" - 4)/12`

`=> (2"x" + 4 - 41 + 4"x")/12 = (3"x" - 4)/12`

`=> (6"x" - 37)/12 = (3"x" - 4)/12`

⇒ 12(6x - 37) = 12(3x - 4)

⇒ 72x - 444 = 36x - 48

⇒ 72x - 36x = -48 + 444

⇒ 36x = 396

⇒ x = `396/36 = 11`

∴ x = 11

#### APPEARS IN

#### RELATED QUESTIONS

Solve: `"2x"/3 - ("x" - 1)/6 + ("7x" - 1)/4 = 2 1/6` Hence, find the value of 'a', if `1/"a" + 5"x" = 8`

Five less than 3 times a number is -20. Find the number.

A number decreased by 30 is the same as 14 decreased by 3 times the number; Find the number.

A rectangle’s length is 5 cm less than twice its width. If the length is decreased by 5 cm and width is increased by 2 cm; the perimeter of the resulting rectangle will be 74 cm. Find the length and width of the origi¬nal rectangle.

Three consecutive whole numbers are such that if they be divided by 5, 3 and 4 respectively; the sum of the quotients is 40. Find the numbers.

Solve: `2/"5x" - 5/"3x" = 1/15`

Solve: `(3"x" - 2)/3 + (2"x" + 3)/2 = "x" + 7/6`

Solve: `("9x" + 7)/2 - ("x" - ("x" - 2)/7) = 36`

A man sold an article for ₹ 396 and gained 10% on it. Find the cost price of the article

The ages of A and B are in the ratio 7 : 5. Ten years hence, the ratio of their ages will be 9 : 7. Find their present ages.

Given that x ≥ y. Fill in the blank with suitable inequality sign

– xy `square` – y^{2}

Given that x ≥ y. Fill in the blank with suitable inequality sign

x – y `square` 0

Linear inequation has almost one solution

Solve the following inequation

x ≤ 7, where x is a natural number

Solve the following inequation

x – 6 < 1, where x is a natural number

Solve the following inequation

6x – 7 ≥ 35, where x is an integer

Solve the following inequation

4x – 9 > – 33, where x is a negative integer

The cost of one pen is ₹ 8 and it is available in a sealed pack of 10 pens. If Swetha has only ₹ 500, how many packs of pens can she buy at the maximum?

Solve the following inequalities

4n + 7 ≥ 3n + 10, n is an integer

Solve the following inequalities

−13 ≤ 5x + 2 ≤ 32, x is an integer