Question 158188
1) The sum of two numbers is 43. One number plus three times the other number is 65. What are the numbers? 
x + x = 43  ??
x + 3x = 65  ??
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x + y = 43
x + 3y = 65
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x = 32
y = 11


2) The difference between two numbers is 55. Four times the smaller number plus five times the larger number is 176. What are the numbers? 
z = smaller number 
y = larger number 
x - x = 55 
4z + 5y = 76 
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y - z = 55
4z + 5y = 176
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y = 55 + z
Sub for y in 2nd eqn
4z + 5*(55+z) = 176
4z + 275 + 5z = 176
9z = -99
z = -11
y = 44