KnowledgeBoat Logo
|

Mathematics

For x2+x3=15\dfrac{x}{2} + \dfrac{x}{3} = 15; the value of x is:

  1. 18

  2. 90

  3. 15

  4. 45

Linear Eqns One Variable

4 Likes

Answer

x2+x3=15\dfrac{x}{2} + \dfrac{x}{3} = 15

Since L.C.M. of denominators 2 and 3 = 6, multiply each term with 6 to get:

⇒x×62+x×63=15×6⇒ \dfrac{x \times 6}{2} + \dfrac{x \times 6}{3} = 15 \times 6

⇒ x ×\times 3 + x ×\times 2 = 90

⇒ 3x + 2x = 90

⇒ 5x = 90

⇒ x = 905\dfrac{90}{5}

⇒ x = 18

Hence, option 1 is the correct option.

Answered By

4 Likes

Related Questions