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alexandr402 [8]
3 years ago
10

The ratio of Sara and Laila age was 5:4. 2 years later their ratio is 6:5. What is their current ages?

Mathematics
1 answer:
N76 [4]3 years ago
6 0

Answer:

  • Sara is 10 and Laila is 8

Step-by-step explanation:

  • Sara's age = s
  • Laila's age = l

<u>The ratios:</u>

  • s/l = 5/4 ⇒ s = 5l/4
  • (s + 2)/(l + 2) = 6/5 ⇒ 5(s + 2) = 6(l + 2) ⇒ 5s = 6l + 2

<u>Substitute s into the second equation and solve for l:</u>

  • 5(5l/4) = 6l + 2
  • 25l = 24l + 8
  • l = 8

<u>Fins s:</u>

  • s = 5*8/4 = 10
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