The ratio of two numbers is 3 : 2 and their difference is 225, the smaller number is:
Explanation:
Let the two numbers be x and y whose ratio is 3 : 2, That is
x/y = 3/2 and x – y = 225
Let x = 3a and y = 2a.
∴ 3a – 2a = 225 ⇒ a = 225
⇒ x = 3 × 225 = 675 and y = 2 × a = 450.
Hence, smaller number of the ratio is 450.
Hence, option (d).
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