SOLUTION: The sum of two numbers is ten. Three times the larger number is three less than eight times the smaller number. Find the smaller number

Question 790356: The sum of two numbers is ten. Three times the larger number is three less than eight times the smaller number. Find the smaller number
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
m and n, the numbers.
m+n=10.

Let m 3n=-3+8m.

Solve the simultaneous equations, m+n=10 and 3n=8m-3. Since you were asked for the smaller number, which is m, first solve for n using either equation and substitute the expression into the other equation; and THEN solve for m.
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