Question

11.
The denominator of a rational number is greater than its numerator by 6. If the numerator is increased
by 15 and the denominator is decreased by 2, the number obtained is
4
3
Find the rational number.
​

Answer 1

$\huge\underline\mathrm\purple\{ Solution }$

Given:

• Numerator = x + 15
• Denominator = {[(x + 15) + 6] - 2}
• The number obtained = 4/3

Let the rational number be x.

==> $\frac{x \: + \: 15}{(x \: + \: 15 \: + \: 6) \: - \: 2} = \: \frac{4}{3}$

==> $\frac{x \: + \: 15}{x \: - \: 15 \: - \: 6 \: - \: 2} = \: \frac{4}{3}$

==> $\frac{x \: + \: 15}{x \: - \: 23} = \: \frac{4}{3}$

==> 3(x + 15) = 4(x - 23)

==> 3x + 45 = 4x - 92

==> 3x - 4x = -92 - 45

==> -x = -137

==> x = 137

Hence, the rational no. is 137.

Hope it helped you dear...

Answer 2

Answer: 1/2 of an answer is zero

Step-by-step explanation:  are you mad