exam Maths Puzzle Numerical Ability

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Find m :

c/a + d/m+x = ac

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Problem: Joe has a collection of nickels and dimes that is worth $5.65. If the number of dimes were doubled and the number of nickels were increased by 8, the value of the coins would be $10.45. How many dimes does he have? xsquared + 4x + 1 = 0