207,612 views
37 votes
37 votes
The sum of two numbers is30. The sum of4 times the larger and6 times the smaller is128. Find the numbers.

User Celi
by
2.5k points

1 Answer

22 votes
22 votes

let

the smaller number = x

the larger number = y

x + y = 30

4y + 6x = 128


\begin{gathered} x+y=30 \\ 4y+6x=128 \\ x=30-y \\ 4y+6(30-y)=128 \\ 4y+180-6y=128 \\ -2y=128-180 \\ -2y=-52 \\ y=(52)/(2) \\ y=26 \\ x+y=30 \\ x+26=30 \\ x=30-26 \\ x=4 \end{gathered}

The numbers are 4 and 26.

User Mike Gorski
by
3.1k points