Answer:
Greater number: 35
Smaller number: 7
Explanation:
1) Set up system of equations.
Let x = greater number
Let y = smaller number
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x + y = 42
x = 5y
2) Solve them using elimination or substitution.
x + y = 42
x - 5y = 0
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6y = 42
y = 42/6
y = 7
3) Substitute the found answer into one of the two equations to find the value of x.
x = 5(7)
x = 35
Therefore, the greater number is 35, and the smaller number is 7.