text: The sum of the radii of two circles is 7 cm, and the difference of their circumferences is 8 cm.
  
  Question:
  
  The sum of the radii of two circles is 7 cm, and the difference of their circumferences is 8 cm. Find the circumference of the circles.
  
  Solution:
  
  Let the radii of the two circles be r1 cm and r2 cm.
  Now,
  Sum of the radii of the two circles = 7 cm
  
  $r_{1+} r_{2}=7 \quad \ldots(i)$
  
  Difference of the circumferences of the two circles = 88 cm
  
  $\Rightarrow 2 \pi \mathrm{r}_{1}-2 \pi \mathrm{r}_{2}=8$
  
  $\Rightarrow 2 \pi\left(\mathrm{r}_{1}-\mathrm{r}_{2}\right)=8$
  
  $\Rightarrow\left(\mathrm{r}_{1}-\mathrm{r}_{2}\right)=\frac{8}{2 \pi}$
  
  $\Rightarrow \mathrm{r}_{1}-\mathrm{r}_{2}=\frac{8}{2 \times \frac{22}{7}}$
  
  $\Rightarrow \mathrm{r}_{1-} \mathrm{r}_{2}=\frac{8 \times 7}{44}$
  
  $r_{1}-r_{2}=\frac{56}{44}$
  
  $r_{1}-r_{2}=\frac{14}{11} \quad \cdots(i i)$
  
  Adding (i) and (ii), we get:
  
  $2 r_{1}=\frac{91}{11}$
  
  $r_{1}=\frac{91}{22}$
  
  $\therefore$ Circumference of the first circle $=2 \pi r_{1}$
  
  $=2 \times \frac{22}{7} \times \frac{91}{22}$
  
  $=26 \mathrm{~cm}$
  
  Also,
  
  $r_{1}-r_{2}=\frac{14}{11}$
  
  $\frac{91}{22}-r_{2}=\frac{14}{11}$
  
  $\frac{91}{22}-\frac{14}{11}=r_{2}$
  
  $r_{2}=\frac{63}{22}$
  
  $\therefore$ Circumference of the second circle $=2 \pi \mathrm{r}_{2}$
  
  $=2 \times \frac{22}{7} \times \frac{63}{22}$
  
  $=18 \mathrm{~cm}$
  
  Therefore, circumferences of the first and second circles are 18 cm and 26 cm, respectively.
explanation: The document contains a math problem and its solution. The problem involves finding the circumferences of two circles given the sum of their radii and the difference of their circumferences. The solution is provided step-by-step, leading to the circumferences of the two circles.
distilabel_metadata.content: Evaluate the user given text extract and determine if it contains a math question and optionally and answer to this question.
  
  Output rules:
  
  1. Briefly describe the document and mention if it contains a question or a question and answer.
  2. Finalize the output with: Label: no-question,question,question-and-answer,multiple-question,multiple-question-and-answer
distilabel_metadata.role: system
distilabel_metadata.content: The sum of the radii of two circles is 7 cm, and the difference of their circumferences is 8 cm.
  
  Question:
  
  The sum of the radii of two circles is 7 cm, and the difference of their circumferences is 8 cm. Find the circumference of the circles.
  
  Solution:
  
  Let the radii of the two circles be r1 cm and r2 cm.
  Now,
  Sum of the radii of the two circles = 7 cm
  
  $r_{1+} r_{2}=7 \quad \ldots(i)$
  
  Difference of the circumferences of the two circles = 88 cm
  
  $\Rightarrow 2 \pi \mathrm{r}_{1}-2 \pi \mathrm{r}_{2}=8$
  
  $\Rightarrow 2 \pi\left(\mathrm{r}_{1}-\mathrm{r}_{2}\right)=8$
  
  $\Rightarrow\left(\mathrm{r}_{1}-\mathrm{r}_{2}\right)=\frac{8}{2 \pi}$
  
  $\Rightarrow \mathrm{r}_{1}-\mathrm{r}_{2}=\frac{8}{2 \times \frac{22}{7}}$
  
  $\Rightarrow \mathrm{r}_{1-} \mathrm{r}_{2}=\frac{8 \times 7}{44}$
  
  $r_{1}-r_{2}=\frac{56}{44}$
  
  $r_{1}-r_{2}=\frac{14}{11} \quad \cdots(i i)$
  
  Adding (i) and (ii), we get:
  
  $2 r_{1}=\frac{91}{11}$
  
  $r_{1}=\frac{91}{22}$
  
  $\therefore$ Circumference of the first circle $=2 \pi r_{1}$
  
  $=2 \times \frac{22}{7} \times \frac{91}{22}$
  
  $=26 \mathrm{~cm}$
  
  Also,
  
  $r_{1}-r_{2}=\frac{14}{11}$
  
  $\frac{91}{22}-r_{2}=\frac{14}{11}$
  
  $\frac{91}{22}-\frac{14}{11}=r_{2}$
  
  $r_{2}=\frac{63}{22}$
  
  $\therefore$ Circumference of the second circle $=2 \pi \mathrm{r}_{2}$
  
  $=2 \times \frac{22}{7} \times \frac{63}{22}$
  
  $=18 \mathrm{~cm}$
  
  Therefore, circumferences of the first and second circles are 18 cm and 26 cm, respectively.
distilabel_metadata.role: user
distilabel_metadata.raw_output_q_a_detector_0: The document contains a math problem and its solution. The problem involves finding the circumferences of two circles given the sum of their radii and the difference of their circumferences. The solution is provided step-by-step, leading to the circumferences of the two circles.
  
  Label: question-and-answer