Download App

Linear Equations — Maths STD 8 — Question

Maharashtra BoardEnglish MediumSTD 8MathsLinear Equations1 Mark
Question
Mark $(\checkmark)$ against the correct answer:
$\frac{\text{x}+5}{2}+\frac{\text{x}-5}{3}=\frac{25}{6}$ gives:
  1. x = 3
  2. x = 4
  3. x = 5
  4. x = 2
✓

Answer

  1. x = 4
Solution:

$\frac{\text{x}+5}{2}+\frac{\text{x}-5}{3}=\frac{25}{6}$(because L.C.M. of 2 and 3 is 6)

$\Rightarrow\frac{3(​​\text{x}+5)+2(\text{x}-5)}{6}=\frac{25}{6}$

$\Rightarrow\frac{3\text{x}+15+2\text{x}-​​10}{6}=\frac{25}{6}$

$\Rightarrow\frac{5\text{x}+5}{6}=\frac{25}{6}$

$\Rightarrow5\text{x}+5=25$ (cancelling 6 from the denominator on both the sides)

$\Rightarrow5\text{x}=25-5$

$\Rightarrow\text{5x}=20$

$\Rightarrow\text{x}=\frac{20}{5}$

$\Rightarrow\text{x}=4$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "Solve The Following Question.1MARKS" from Linear Equations→Linear Equations — all question types→Maths STD 8 question papers→Maharashtra Board STD 8 question papers→Maharashtra Board question paper generator→

Similar questions

Classify the following polynomials as monomials, binomials, trinomials. Which polynomials do not fit in any category?
$p^2 q+p q^2$
→
Fill in the blank:
Zero is ________ the reciprocal of any number.
→
Find the cube root of the following rational numbers:
1.131
→
Define the following term:
Class-size.
→
Which of the following statements are true?
If a number is divisible by 8, it must be divisible by 4.
→
Are rational numbers always closed under division?
→
Evaluate:
$(-3)^{-2}$
→
A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is:
a black king.
→
Which of the following statements are true and which are false?
Every rectangle is a square.
→
Write 'T' for true and 'F' for false for the following:
The discount is allowed on the marked price.
→