Answer:
The sum of two numbers is 43 . The sum of 4 times the larger and 6 times the smaller is 208 . Find the numbers.
let x and y the snumbers x is the greatest
The sum of two numbers is 43.
x+y =43
The sum of 4 times the largest and 6 times the smallest is 208.
4x+6y=208
x+y=43
4x+6y=208
by substitution: y=43-x
4x+6(43-x)= 208
4x+258-6x=208
-2x=208-258
2x=50
x=25
we calculate y:
x+y=48
25+y=48
y =48-25=23
the numbers are 25 and 23