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Question
If the product of two numbers is 360 and their ratio is 10 : 9, then find the numbers.
Solution
Let the two numbers be 10x and 9x.
Product of the two numbers = 360
∴ 10x × 9x = 360
⇒ 90x2 = 360
⇒ x2 = 4
⇒ x = 2
∴ One number = 10x = 10 × 2 = 20
Other number = 9x = 9 × 2 = 18
Thus, the two numbers are 18 and 20.
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