Question

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

Sara's age

Answer 1

• Sara is 10 and Laila is 8

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