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3 years ago

The denominator of a fraction is 10 more than its numerator.

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

8 0

The right answer is Option C : 5

Step-by-step explanation:

Let,

The numerator of fraction = x

The denominator of a fraction is 10 more than its numerator.

$\frac{x}{x+10}$

When 1/3 is added to this fraction,

$\frac{x}{x+10}+\frac{1}{3}$

the resulting fraction’s denominator is three times the denominator of the original fraction its numerator is 15 less than its denominator

$\frac{3(x+10)-15}{3(x+10)}$

Therefore, it becomes

$\frac{x}{x+10}+\frac{1}{3} = \frac{3(x+10)-15}{3(x+10)}$

Taking LCM on left side

$\frac{3x+(x+10)}{3(x+10)}=\frac{(3x+30)-15}{3(x+10)}\\\\\frac{3x+x+10}{3(x+10)}=\frac{3x+30-15}{x(x+10)}\\\\\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}$

Multiplying both sides by 3(x+10)

$3(x+10)*\frac{4x+10}{3(x+10)}=\frac{3x+15}{3(x+10)}*3(x+10)\\4x+10=3x+15\\4x-3x=15-10\\x=5$

The numerator of original fraction is 5.

The right answer is Option C : 5

Keywords: fraction, addition

Learn more about fractions at:

#LearnwithBrainly

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Answer:

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Step-by-step explanation:

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Harlamova29_29 [7]

Answer:

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Step-by-step explanation:

You can solve this problem by using similar triangles. You can tell that the two triangles are similar by AAA (since two angles are the same, the third must be too).

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Quadrilateral PQRS is similar to Quadrilateral LMNO.

ruslelena [56]

Answer:

2.5

Step-by-step explanation:

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