thandoskhosana8 thandoskhosana8
  • 15-05-2023
  • Mathematics
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4.3. Sihle is now twice as old as her daughter Zinhle. Ten years ago she was three times older than her daughter. Determine their current ages. ​

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mhanifa
mhanifa mhanifa
  • 15-05-2023

Answer:

  • Sihle is 40 and Zinhle is 20

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Let the current ages be x and y.

As per given information we can set up two equations:

  • 1) x = 2y, Sihle is now twice as old as her daughter Zinhle
  • 2) x - 10 = 3(y - 10), 10 years ago she was 3 times older

Substitute 2y for x into second equation and solve for y:

  • 2y - 10 = 3y - 30
  • 3y - 2y = 30 - 10
  • y = 20

Find the value of x:

  • x = 2*20 = 40
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