If $50$ is subtracted from two-third of a number, the result is equal to sum of $40$ and one-fourth of that number. What is the number?

256

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216

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186

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144

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Solution

The correct option is A $216$
Let the number be $x$ .
According to the statement,
$\frac{2 x}{3} - 50 = \frac{x}{4} + 40$

$\frac{2 x}{3} - \frac{x}{4} = 50 + 40$

$\frac{8 x - 3 x}{12} = 90$

$\frac{5 x}{12} = 90$

$x = \frac{90 \times 12}{5}$
$= 216$

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If 50 is subtracted from two-third of a number, the result is equal to sum of 40 and one-fourth of that number. What is the number?

The correct option is A 216Let the number be x.According to the statement,2x3−50=x4+402x3−x4=50+408x−3x12=905x12=90x=90×125 =216

If $50$ is subtracted from two-third of a number, the result is equal to sum of $40$ and one-fourth of that number. What is the number?

The correct option is A $216$
Let the number be $x$ .
According to the statement,
$\frac{2 x}{3} - 50 = \frac{x}{4} + 40$

$\frac{2 x}{3} - \frac{x}{4} = 50 + 40$

$\frac{8 x - 3 x}{12} = 90$

$\frac{5 x}{12} = 90$

$x = \frac{90 \times 12}{5}$
$= 216$