Solve the following3x-4 - 1 -4 x - 20 - x -4- 32-

3x/4 1 /4 (x 20) = x /4+ 32Multiply with 4 both sides3x/4× 4 1 /4 (x 20)× 4 = x /4× 4+ 32× 40ex0ex3x x+20=x+1280ex0exx=128 200ex0exx=108Hence, the valu ...

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Standard VI

Mathematics

Uses of Ratios and Proportions

Solve the fol...

Question

Solve the following
$\frac{3 x}{4} - \frac{1}{4} (x - 20) = \frac{x}{4} + 32 .$

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Solution

$\frac{3 x}{4} - \frac{1}{4} (x - 20) = \frac{x}{4} + 32$
Multiply with 4 both sides
$\frac{3 x}{4} \times 4 - \frac{1}{4} (x - 20) \times 4 = \frac{x}{4} \times 4 + 32 \times 4 3 x - x + 20 = x + 128 x = 128 - 20 x = 108$
Hence, the value of $x$ is $108 .$

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Solve the following3x4-14(x-20)=x4+32.

3x4-14(x-20)=x4+32Multiply with 4 both sides3x4×4-14(x-20)×4=x4×4+32×43x-x+20=x+128x=128-20x=108Hence, the value of x is 108.

Solve the following
$\frac{3 x}{4} - \frac{1}{4} (x - 20) = \frac{x}{4} + 32 .$

$\frac{3 x}{4} - \frac{1}{4} (x - 20) = \frac{x}{4} + 32$
Multiply with 4 both sides
$\frac{3 x}{4} \times 4 - \frac{1}{4} (x - 20) \times 4 = \frac{x}{4} \times 4 + 32 \times 4 3 x - x + 20 = x + 128 x = 128 - 20 x = 108$
Hence, the value of $x$ is $108 .$