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Question
Two numbers are in the ratio of 3: 5. If 8 is added to each number, the ratio becomes 2 : 3. Find the numbers.
Solution
Let the number be 3x and 5x
3x + 8 : 5x + 8 = 2 : 3
`(3x + 8)/(5x + 8) = (2)/(3)`
⇒ 2(5x + 8) = 3(3x + 8)
⇒ 10x + 16 = 9x + 24
⇒ 10x - 9x = 24 - 16
⇒ x = 8
∴ The number are 24 and 40.
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