One third of a pole is painted yellow one-fifth is painted white and the remaining 7 meters is painted black the length of the pole is

15 m

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30 m

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10 \frac{7}{15}

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7 \frac{1}{15}

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Solution

The correct option is A 15 m
Let the total length of the pole be $x$
$\frac{x}{3} + \frac{x}{5} + 7 = x$
$\Rightarrow \frac{5 x + 3 x + 105}{15} = x$
$\Rightarrow 8 x + 105 = 15 x \Rightarrow 7 x = 105$
$\Rightarrow x = \frac{105}{7} = 15$

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One third of a pole is painted yellow one-fifth is painted white and the remaining 7 meters is painted black the length of the pole is

The correct option is A 15 mLet the total length of the pole be x x3+x5+7=x⇒5x+3x+10515=x⇒8x+105=15x⇒7x=105⇒x=1057=15

The correct option is A 15 m
Let the total length of the pole be $x$
$\frac{x}{3} + \frac{x}{5} + 7 = x$
$\Rightarrow \frac{5 x + 3 x + 105}{15} = x$
$\Rightarrow 8 x + 105 = 15 x \Rightarrow 7 x = 105$
$\Rightarrow x = \frac{105}{7} = 15$