The sum of two numbers is 2490
x+y= 2490 (a)
8.5% of the first one is equal to 6.5% of the other.
x (8.5/100) = y (6.5/100) (b)
We have the system of equations:
x+y= 2490 (a)
0.085x = 0.065y (b)
Solve (a) for x:
x = 2490-y
Replace the value of x on (b)
0.085 (2490-y) = 0.065y
Solve for y:
211.65 -0.085y = 0.065y
211.65 = 0.065y+0.085y
211.65= 0.15y
211.65/0.15 = y
1,411 =y
Replace y on any equation and solve for x:
x+y= 2490
x+1411=2490
x=2490-1411
x= 1079
first number = 1079
Second number = 1411