Question

hii! Plz solve this answer fast...❤️plz ❤️​

Answer 1

Solution 1 :

★ 15(x-9) - 2(x-12) + 5(x+6) = 0

→ 15x - 135 - 2x + 24 + 5x + 30 = 0

→ 15x - 2x + 5x - 135 + 24 + 30 = 0

→ 20x - 2x -135 + 54 = 0

→ 18x - 81 = 0

→ 18x = 81

→ x = $\sf\dfrac{81}{18}$

→ x = $\sf\dfrac{9}{2}$

→ x = 4.5

Solution 2 :

Let 2n be the first consecutive even number, (2n + 2) be the second and (2n + 4) be the third consecutive even number

According to the question :

→ 2n + (2n + 2) + (2n + 4) = 96

→ 2n + 2n + 2 + 2n + 4 = 96

→ 6n + 6 = 96

→ 6n = 90

→ x = $\sf\dfrac{90}{6}$

→ x = 15

• First even number = 2(15) = 30

• Second even number = 2(15) + 2 = 32

• Third even number = 2(15) + 4 = 34

Solution 3 :

★ $\sf\dfrac{2x}{3}$ + 3 = 11

→ $\sf\dfrac{2x}{3}$ = 11 - 3

→ $\sf\dfrac{2x}{3}$ = 8

→ 2x = 8 × 3

→ 2x = 24

→ x = $\sf\dfrac{24}{2}$

→ x = 12

Verification :

Putting the value of x as 12

• $\sf\dfrac{2\: \times 12}{3}$ + 3 = 11

→ $\sf\dfrac{24}{3}$ + 3 = 11

→ 8 + 3 = 11

→ 11 = 11

Hence, Verified.

Solution 4 :

★ 0.06x + 0.09 (15 - x) = 0.03 (15)

→ 0.06x + 1.35 - 0.09x = 0.45

→ 0.06x - 0.09x = 0.45 - 1.35

→ - 0.03x = - 0.9

→ x = $\sf\dfrac{-0.9}{-0.03}$

→ x = 30

Answer 2

Answer:

1) $\rm{\dfrac{9}{2}\:or\:4.5}$

2) $\rm{30, 32, 34}$

3) $\rm{12}$

4) $\rm{30}$

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★ Solution of 1) :

$\rm\leadsto{15(x - 9) - 2(x - 12) + 5(x + 6) = 0}$

$\rm\mapsto{15x - 135 - 2x + 24 + 5x + 30 = 0}$

$\rm\mapsto{18x - 81 = 0}$

$\rm\mapsto{18x = 0 + 81 = 81}$

$\rm\mapsto{x = \cancel{\dfrac{81}{18}} = \dfrac{9}{2}}$

★ $\boxed{\rm x = \dfrac{9}{2}\:or\: 4.5}$

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★ Solution of 2) :

→ To find the three consecutive even numbers whose sum is 96. Let x, x + 2, x + 4 be the three consecutive even numbers whose sum is 96.

$\rm\mapsto{x + x + 2 + x + 4 = 96}$

$\rm\mapsto{3x + 6 = 96}$

$\rm\mapsto{3x = 96 - 6 = 90}$

$\rm\mapsto{x = \cancel{\dfrac{90}{3}}}$

★ $\boxed{\rm x = 30}$

$\rm{x = 30, (30) + 2 = 32, (30) + 4 = 34}$

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Solution of 3) :

$\rm\leadsto{\dfrac{2}{3}x + 3 = 11}$

$\rm\mapsto{\dfrac{2}{3}x = 11 - 3}$

$\rm\mapsto{\dfrac{2}{3}x = 8}$

→ There are two methods to solve it further :-

Method (i) : $\rm\mapsto{x = 8 \times \dfrac{3}{2}}$

★ $\boxed{\rm x = 12}$

Method (ii) : $\rm\mapsto{2x = 8 \times 3 = 24}$

$\rm\mapsto{x = \dfrac{24}{2}}$

★ $\boxed{\rm x = 12}$

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★ Solution of 4) :

$\rm\leadsto{0.06x + 0.09 (15 - x) = 0.03 (15)}$

$\rm\mapsto{0.06x + 1.35 - 0.09x = 0.45}$

$\rm\mapsto{0.06x - 0.09x = 0.45 - 1.35}$

$\rm\mapsto{ \cancel{-} 0.03x = \cancel{-} 0.9}$

$\rm\mapsto{x = \dfrac{09 \times 100}{003 \times 10}}$

★ $\boxed{\rm x = 30}$

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