Question 50667
Let x = first number
and y = second number


Now, you need to write two equations since there are two unknowns.

The sum of two numbers is 130.  
x+y = 130


One number is 46 times more than 1/2 the other number.
x= 1/2*y+46

If you don't like this equation because of the fraction, just multiply both sides by 2:
2x = y + 92  or 2x-y = 92


There, now it's not a word problem any more.  It's solving two equations with two unknowns!!

x+ y = 130
2x -y = 92


Just add the two equations together:
3x= 222
x=74


Now, x + y = 130
so, 74 + y = 130
y=56


Check in the second equation:
x=1/2*y +46
74=1/2*56 + 46
74=28 + 46
It checks!!


R^2 at SCC