Solve: m- (m-1) 2 =1- (m-2) 3 - Vidyadip

Question

Solve:
$\text{m}-\frac{(\text{m}-1)}{2}=1-\frac{(\text{m}-2)}{3} $

✓

Answer

$\text{m}-\frac{(\text{m}-1)}{2}=1-\frac{(\text{m}-2)}{3} $
$\Rightarrow \frac{2\text{m} - \text{m} + 1}{2} = 1 −\frac{ ( \text{m}−2 )}{3}$(L.C.M. of 1 and 2 is 2 )
$\Rightarrow\frac{\text{m} + 1}{2} = \frac{3 −\text{m} + 2}{3} $(L.C.M. of 1 and 3 is 3 )
$\Rightarrow\frac{\text{m} + 1}{2} = \frac{5 −\text{ m}}{3}$
$\Rightarrow 3 ( \text{m} + 1 ) = 2 ( 5 - \text{m} )$ (by cross multiplication)
$\Rightarrow3\text{m} + 3 = 10 - 2\text{m}$
$3\text{m} + 2\text{m} = 10 - 3$
$\Rightarrow 5\text{m} = 7$
$\Rightarrow\text{m}= 75$
$\therefore \text{m} = \frac{7}{5}$

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 "3 Mark Question" 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

A rectangular sheet of paper 30cm × 18cm can be transformed into the curved surface of a right circular cylinder in two ways i.e., either by rolling the paper along its length or by rolling it along its breadth. Find the ratio of the volumes of the two cylinders thus formed.

Find two rational numbers lying between $\frac{-1}{3}$ and $\frac{1}{2}$.

Evaluate the following:
$\sqrt[3]{\text{a}24}+\sqrt[3]{0.008}+\sqrt[3]{0.0064}$

Find the product:
$\frac{4}{3}\text{a}\big(\text{a}^2 +\text{ b}^2 − 3\text{c}^2\big)$

Mohit bought a shirt for Rs. 1337.50 including VAT at 7%. Find the original price of the shirt.

For each of the non-perfect cubes in Q. No. 20 find the smallest number by which it must beMultiplied so that the product is a perfect cube.

Verify the division algorithm i.e., Dividend = Divisor × Quotient + Remainder, in the following. Also write the quotient and remainder.
Dividend: $14 x^2+13 x-15$
Divisor: $7 x -4$

Find the compound interest on Rs. 160000 for one year at the rate of 20% per annum, if the interest is compounded quarterly.

ABCD is a rhombus. If $\angle\text{ACB}=40^\circ$, find $\angle\text{ADB}$.

A loaded truck covers 16km in 25 minutes. At the same speed, how far can it travel in 5 hours?