exam Maths Puzzle Numerical Ability

A psychologist has developed a test to measure self control. The test is normed so that it has a mean of 100 and a standard deviation of 15. The scores are normally distributed i

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Can you show that, given two equations y=m1x+c1 and y=m2x+c2, where c1=c2, that there will be at least one solution no matter what m1 and m2 are. Interpret the reults on when the first of two numbers is added to twice the second number, the result is 21, but when the second number is added to twice the first the result is 18. find the two nummbers.