2 years ago

when 3 is divided by the sum of x and 8 ,the result is the same as dividing 2 by the sum of x and 3,find the number

Mathematics

1 answer:

kkurt [141]2 years ago

8 0

Answer:

x = your number

3 / ( x + 8 ) = 2 / ( x + 3 )

Cross multiply

3 ∙ ( x + 3 ) = ( x + 8 ) ∙ 2

3 x + 9 = 2 x + 16

Subtract 2 x to both sides

x + 9 = 16

Subtract 9 to both sides

x = 7

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Answer:

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Step-by-step explanation:

Let the unknown number be x

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Solving further :

$-7x\le \:-70\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\left(-7x\right)\left(-1\right)\ge \left(-70\right)\left(-1\right)\\\\Simplify\\\\7x\geq 70\\\\\mathrm{Divide\:both\:sides\:by\:}7\\\\\frac{7x}{7}\ge \frac{70}{7}\\\\Simplify\\\\x \geq 10$

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Answer:

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