SOLUTION: Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression. What are the three numbers?

Question 1106490: Three numbers are in the ratio 3:9:10. If 10 is added to the last number, then the three numbers form an arithmetic progression. What are the three numbers?

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
The numbers: 3x, 9x, 10x

Making the arithmetic progression: 3x, 9x, 10x+10

Common Difference between terms:

The three numbers (original numbers): 6, 18, 20
Answer by ikleyn(52788) (Show Source): You can put this solution on YOUR website!
.

The numbers are 3x, 9x and 10x for some x. And the condition says that 3x, 9x and 10x + 10 form an AP. It implies 9x-3x = (10x+10) - 9x, or 6x = x + 10 ====> 5x = 10 ====> x = 2. Answer. The numbers are 6, 18 and 30.

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