Marathi Days - दिवस

 सोमवार - Monday

मंगलवार - Tuesday

बुधवार - Wednesday

गुरुवार - Thursday

शुक्रवार - Friday

शनिवार - Saturday

रविवार - Sunday

Marathi Numbers 1- 50

 

Marathi Numbers 1-50

Number in English	Number in Marathi	Number in words in Marathi
1	१	एक
2	२	दोन
3	३	तीन
4	४	चार
5	५	पाच
6	६	सहा
7	७	सात
8	८	आठ
9	९	नऊ
10	१०	दहा
11	११	अकरा
12	१२	बारा
13	१३	तेरा
14	१४	चौदा
15	१५	पंधरा
16	१६	सोळा
17	१७	सतरा
18	१८	अठरा
19	१९	एकोणीस
20	२०	वीस
21	२१	एकवीस
22	२२	बावीस
23	२३	तेवीस
24	२४	चोवीस
25	२५	पंचवीस
26	२६	सव्वीस
27	२७	सत्तावीस
28	२८	अठ्ठावीस
29	२९	एकोणतीस
30	३०	तीस
31	३१	एकतीस
32	३२	बत्तीस
33	३३	तेहतीस
34	३४	चौतीस
35	३५	पस्तीस
36	३६	छत्तीस
37	३७	सदतीस
38	३८	अडतीस
39	३९	एकोणचाळीस
40	४०	चाळीस
41	४१	एक्केचाळीस
42	४२	बेचाळीस
43	४३	त्रेचाळीस
44	४४	चव्वेचाळीस
45	४५	पंचेचाळीस
46	४६	सेहेचाळीस
47	४७	सत्तेचाळीस
48	४८	अठ्ठेचाळीस
49	४९	एकोणपन्नास
50	१५०	पन्नास

Lowest Comman Multiple (LCM)

LCM of two or more numbers is the number that is divisible by all those numbers. In other words, it is the least common multiple of the two or more numbers. 

How to find out LCM of two numbers :

1) Step 1:  Find out all factors of numbers

2) Step 2: Take their common factors 

3) Step 3: Take their uncommon factors

4) Step 4: Multiply all factors.

5) Step 5: Answer is the LCM of two numbers

Example :

1) Find LCM of  9 and 15

    

Step 1: Factors of 9 : 3 x 3

            Factors of 15 : 3 x 5

Step 2:  Common factor is 3  (One 3 is repeated in factors of both the numbers, hence it is common)

Step 3: Uncommon factors are 3 and 5 

Step 4: Multiplication of common and uncommon factors = 3 x 3 x 5  = 45

Step 5: Hence LCM of 9 and 15 is 45.

  45 is divisible by 9 and 15.

 It is the smallest multiple of 9 and 15, hence it is called Least common multiple. Other multiples 9 and 15  are 90, 180. 

2. Find LCM of 8 and 12

Step 1: Factors of 8 = 2 x 2 x 2

            Factors of 12 = 2 x 2 x 3

Step 2: Common factors are 2,2

Step 3: Uncommon factors are 2,3

Step 4:  Multiplication of common and uncommon factors = 2 x 2 x 2 x 3 = 24

Step 5: Hence the LCM of 8 and 12 is 24

Similarly, we can find the LCM of 3 numbers

3. Find LCM of 12, 15, 21

Step 1: Factors of 12 = 2 x 2 x3

              Factors of 15  = 3 x 5

             Factors of 21 = 3 x 7

Step 2: Common factor is 3

Step 3: Uncommon factors are 2,2,5,7

Step 4: Multiplication of common and uncommon factors  = 3 x 2 x 2 x 5 x 7 = 420

Step 5: Hence the LCM of 12, 15 and 21 is 420

Class8 -Mathematics - Rational Numbers

Class VIII: Mathematics: Linear Equatation

Solve the following equations.

Q1. 20 = 6 + 2x⟹ 20 - 6 = 6 +2x-6⟹ 14 = 2x⟹ x = 14 2⟹ x = 7${\displaystyle \begin{array}{l}Q1.\\ \\ 20=6+2x\\ ⟹20-6=6+2x-6\\ ⟹14=2x\\ ⟹x=\frac{14}{2}\\ ⟹x=7\end{array}}$	Q2. 15 + x = 5x + 3 Solution: ⟹ 15 - 3 = 5x -x⟹ 12 = 4x⟹ x = 3${\displaystyle \begin{array}{l}Q2.\\ 15+x=5x+3\\ \\ Solution:\\ \\ ⟹15-3=5x-x\\ ⟹12=4x\\ ⟹x=3\end{array}}$
Q3. 3x + 2 x-6 = -7 ⟹ (3x + 2) = -7 ( x-6)⟹ 3x + 2 = -7x +42⟹ 3x + 7x = 42 -2⟹ 10x = 40⟹ x = 4${\displaystyle \begin{array}{l}Q3.\\ \\ \frac{3x+2}{x-6}=-7\\ \\ ⟹(3x{}_{}+2)=-7(x-6)\\ ⟹3x+2=-7x+42\\ ⟹3x+7x=42-2\\ ⟹10x=40\\ ⟹x=4\end{array}}$	Q4. 3a - 4 = 2(4-a)⟹3a - 4 = 8 - 2a⟹ 3a + 2a = 8 - 4⟹ 5a = 4⟹ a = 4 5${\displaystyle \begin{array}{l}Q4.\\ \\ 3a-4=2(4-a)\\ ⟹3a-4=8-2a\\ ⟹3a+2a=8-4\\ ⟹5a=4\\ ⟹a=\frac{4}{5}\end{array}}$
Q5. 3(b-4) = 2(4-b)⟹3b -12 = 8 -2b⟹ 3b + 2b = 8 + 12⟹ 5b = 20⟹ b= 4${\displaystyle \begin{array}{l}Q5.\\ \\ 3(b-4)=2(4-b)\\ ⟹3b-12=8-2b\\ ⟹3b+2b=8+12\\ ⟹5b=20\\ ⟹b=4\end{array}}$	Q6. x+2 9 = x +4 11⟹ 11 (x +2) =9 (x +4)⟹ 11x + 22 = 9x +36⟹ 11x - 9x = 36-22⟹2x = 14⟹ x =7 ${\displaystyle \begin{array}{l}Q6.\\ \\ \frac{x+2}{9}=\frac{x+4}{11}\\ ⟹11(x+2)=9(x+4)\\ ⟹11x+22=9x+36\\ ⟹11x-9x=36-22\\ ⟹2x=14\\ ⟹x=7\end{array}}$