Need help with a question!!!
A number is 5 more than 4 times another. The greater number decreased by 2/3, the smaller equals 20. Find the numbers.

Question

Need help with a question!!! 
A number is 5 more than 4 times another. The greater number decreased by 2/3, the smaller equals 20. Find the numbers.

isaiah.feynman · Answer

@whpalmer4  got a better idea?

anonymous · Answer

plzz help me.

isaiah.feynman · Answer

|dw:1389543930524:dw| FIRST STATEMENT.

anonymous · Answer

ok

whpalmer4 · Answer

is that the greater number - (2/3)* the smaller number = 20?

isaiah.feynman · Answer

We need another equation. Which seems difficult to set up.

whpalmer4 · Answer

If the problem is as I suggested, then here's how to solve it:

let y be the smaller number, and x the larger:
"5 more than 4 times another"
$$x = 4y + 5$$
"the greater number, decreased by 2/3 of the smaller, equals 20"
$$x-\frac{2}{3}y = 20$$
Now substitute the first equation into the second and solve for $y$

isaiah.feynman · Answer

Ok finally help. So solve the system of equations!

anonymous · Answer

Thank u so much guys!!!(:

whpalmer4 · Answer

so, do you have an answer for me to check?

anonymous · Answer

would it be 4 1/2???

isaiah.feynman · Answer

You need two numbers, because of two unknowns.

whpalmer4 · Answer

yes,  4 1/2 is correct for one of the numbers, what is the other?

anonymous · Answer

would it be 23

whpalmer4 · Answer

correct again!

anonymous · Answer

Thanks for all the help and the medal!!!

whpalmer4 · Answer

2/3 of 9/2 = 18/6 = 3, so 23-3 = 20.  and 4*9/2 + 5 = 36/2 + 5 = 18+5 = 23, so the solution checks out.