SOLUTION: Separate 65 into 2 parts such as that 3 times the larger will be 6 more than the smaller. (Hint: let x and 65-x represent your two numbers.)

Question 208424: Separate 65 into 2 parts such as that 3 times the larger will be 6 more than the smaller. (Hint: let x and 65-x represent your two numbers.)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
you can make 65-x equal your other number but you can also make it equal to another variable name.
the answer comes out the same.
i chose x + y = 65
the relationship is:
3 * x = y + 6
solving for x gets:
x = (y + 6)/3
replace x with (y+6)/3 in the original equation to get:
(y + 6)/3 + y = 65
multiply both sides of the equation by 3 to get:
y + 6 + 3y = 195
combine like terms to get:
4y + 6 = 195
subtract 6 from both sides to get:
4y = 189
divide both sides by 4 to get:
y 47.25
if y = 47.25, then x = 17.75 because 17.75 + 47.25 = 65
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3 * 17.75 = 53.25 which is 6 more than 47.25 satisfying the requirements of the equation.
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