The sum of the ages of two brothers, having a difference of $8 \, \text{years}$ between them, will double after $10 \, \text{years}$. What is the ratio of the age of the younger brother to that of the elder brother?

  • A
    $8:9$
  • B
    $10:13$
  • C
    $7:11$
  • D
    $3:7$

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