If 31x- 334 - 1212- what is the value of x-

The correct option is B 3 31x×154=252 3x+1x=252×415 3x+1x=103 9x+3=10x 10x 9x=3 x=3 ...

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Byju's Answer

Standard X

Mathematics

Formula for Sum of n Terms of an AP

If 31x× 334...

Question

If $3 \frac{1}{x} \times 3 \frac{3}{4} = 12 \frac{1}{2}$ , what is the value of $x$ ?

1

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\frac{1}{3}

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Solution

The correct option is B $3$
$3 \frac{1}{x} \times \frac{15}{4} = \frac{25}{2}$
$⟹ \frac{3 x + 1}{x} = \frac{25}{2} \times \frac{4}{15}$
$⟹ \frac{3 x + 1}{x} = \frac{10}{3}$
$⟹ 9 x + 3 = 10 x$
$⟹ 10 x - 9 x = 3$
$⟹ x = 3$

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If 31x×334=1212, what is the value of x?

The correct option is B 331x×154=252⟹3x+1x=252×415⟹3x+1x=103⟹9x+3=10x⟹10x−9x=3⟹x=3

If $3 \frac{1}{x} \times 3 \frac{3}{4} = 12 \frac{1}{2}$ , what is the value of $x$ ?

The correct option is B $3$
$3 \frac{1}{x} \times \frac{15}{4} = \frac{25}{2}$
$⟹ \frac{3 x + 1}{x} = \frac{25}{2} \times \frac{4}{15}$
$⟹ \frac{3 x + 1}{x} = \frac{10}{3}$
$⟹ 9 x + 3 = 10 x$
$⟹ 10 x - 9 x = 3$
$⟹ x = 3$