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3 years ago

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

The ratios:

s/l = 5/4 ⇒ s = 5l/4

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

Substitute s into the second equation and solve for l:

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

Fins s:

s = 5*8/4 = 10

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