SOLUTION: the difference between two numbers is 12. five times the larger number is nine times the smaller. what are the two numbers?

Question 327320: the difference between two numbers is 12. five times the larger number is nine times the smaller. what are the two numbers?
Answer by AAfter Search(61) (Show Source): You can put this solution on YOUR website!
Let the numbers be p and q.
Given, p - q = 12 .... (i)
5 x p = 9 x q
=> p = 9q/5
Therefore, from equation (i)
9q/5 - q = 12
=> 4q/5 = 12
=> q = (12 x 5)/4 = 15
Hence, p = 12 + 15 = 27
Hence, the two numbers are 27 and 15.
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Check: 27 - 15 = 12
5 x 27 = 135
9 x 15 = 135
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