Two numbers are in the ratio 5:3. If they differ by 18, what are the numbers?
Solution:
Let x be common ratio ∴numbers will be 5x and 3x respectively. Difference between these numbers ⇒ 18 5x − 3x = 18 2x = 18 Divide both sides by 2. 2x/2 = 18/2 x = 9 ∴First number = 5x = 5 × 9 = 45 Second number = 3x = 3 × 9 = 27