Posted by britbrat on Wednesday, December 12, 2012 at 8:19am.
Let the smaller even integer be n.
The larger is then n+2.
The problem says
"smaller added to five times the larger is 58"
which translates to
n+5(n+2)=58
Solve for n (smaller even integer)
a = first number
b = second number
b = a + 2
a + 5 ( a + 2 ) = 58
a + 5 a + 10 = 58
6 a + 10 = 58 Subtrac 10 to both sides
6 a + 10 - 10 = 58 - 10
6 a = 48 Divide both sides by 6
6 a / 6 = 48 / 6
a = 8
b = a + 2 = 8 + 2 = 10
Your numbers are 8 and 10
8 + 5 * 10 = 8 + 50 = 58
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