SOLUTION: Henry has 30 coins. He has 1 fewer pennies than dimes. He has 2 fewer nickels than dimes. How many dimes does Henry have?

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Question 1028746: Henry has 30 coins. He has 1 fewer pennies than dimes. He has 2 fewer nickels than dimes. How many dimes does Henry have?
Answer by ikleyn(52914) About Me  (Show Source):
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Henry has 30 coins. He has 1 fewer pennies than dimes. He has 2 fewer nickels than dimes. How many dimes does Henry have?
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Answer. 9 nickels, 10 pennies and 11 dimes.

Solution

The numbers "n", "p" and "d" are three consecutive (positive) integers, according to the condition.

If so, the middle of the free numbers is 1%2F3 of the their sum.