Question

Pls solve the questions with step by step.​

Answer 1

Answer:

1) 27/10

2) 36

Step-by-step explanation:

1. X/2-1/5=x/3+1/4

x/2-x/3=1/4+1/5

3x-2x/6=5+4/20

x/6=9/20

20x=54

x=54/20

x=27/10

2. n/2-3n/4+5n/6=21

Taking the LCM of 2,4,6

We get,  

n×6/2×6 - 3n×3/4×3 + 5n×2/6×2 = 21

6n-9n+10n/12 =21  

7n/12 = 21

n = 21×12/7

n = 3×12

=36  

Hope it helps...

Answer 2

Answer:

1)x = 3/10 =0.3

2)n = 36

Step-by-step explanation:

1)

$\frac{x}{2} - \frac{1}{5} = \frac{x}{3} + \frac{1}{4}$

$\frac{5x - 2}{10} = \frac{4x + 3}{12}$

$12(5x - 2) = 10(4x + 3)$

$60x - 24 = 40x + 30$

$60x - 40x = 30 - 24$

$20x = 6$

$x = \frac{6}{20} = \frac{3}{10} = 0.3$

2)

$\frac{n}{2} - \frac{3n}{4} + \frac{5n}{6} = 21$

$\frac{4n - 6n}{8} + \frac{5n}{6} = 21$

$\frac{ - 2n}{8} + \frac{5n}{6} = 21$

$\frac{ - n}{4} + \frac{5n}{6} = 21$

$\frac{ - 6n + 20n}{24} = 21$

$\frac{14n}{24} = 21$

$14n = 21 \times 24$

$n = \frac{21 \times 24}{14}$

$n = 36$

Hope it will help you